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Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:
Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).
Similarly for all the multiples of 5 (5, 10, ... 995).
Add it all up.
Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:
Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).
Similarly for all the multiples of 5 (5, 10, ... 995).
Add it all up.
Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:
Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).
Similarly for all the multiples of 5 (5, 10, ... 995).
Add it all up.
Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:
Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).
Similarly for all the multiples of 5 (5, 10, ... 995).
Add it all up.
Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
What else can I help you with?
What are all the multiples of 4 from 1 to 1000?
The multiples of 4 are numbers that can be divided evenly by 4. To find all the multiples of 4 from 1 to 1000, we can start by finding the first multiple of 4, which is 4. Then we can continue adding 4 to find the rest of the multiples. The multiples of 4 from 1 to 1000 are: 4, 8, 12, 16, ... , 996, 1000.
Show all multiples of 3 under 1000?
999/3there are 333 multiples of 3
All Multiples of 4 from 1 to 1000?
48121620242832364044485256606468727680848892961001041081121161201241281321361401441481521561601641681721761801841881921962002042082122162202242282322362402442482522562602642682722762802842882922963003043083123163203243283323363403443483523563603643683723763803843883923964004044084124164204244284324364404444484524564604644684724764804844884924965005045085125165205245285325365405445485525565605645685725765805845885925966006046086126166206246286326366406446486526566606646686726766806846886926967007047087127167207247287327367407447487527567607647687727767807847887927968008048088128168208248288328368408448488528568608648688728768808848888928969009049089129169209249289329369409449489529569609649689729769809849889929961000If you simply count by "fours", you'll have them all. Thus you start 4, 8, 12, 16 and end with 988, 992, 996, 1000.
What are some numbers that are multiples or 3 and 4 up to 1000?
All multiples of 12, such as 120, 600, 660.
What are all the numbers of that you can multiply by 3 to get up to 1000?
All of its multiples from 3 to 999
What are common multiples of 4 and 6 below 1000?
Common multiples of 4 and 6 below 1000: Lowest common multiple of 4 and 6 is 12 All multiples of 12 number 83 from 12 upto 996 because 1000/12 equals 83....
What are all the multiples of 4 from 1 to 1000?
The multiples of 4 are numbers that can be divided evenly by 4. To find all the multiples of 4 from 1 to 1000, we can start by finding the first multiple of 4, which is 4. Then we can continue adding 4 to find the rest of the multiples. The multiples of 4 from 1 to 1000 are: 4, 8, 12, 16, ... , 996, 1000.
The sum of all the multiples of 3 or 5 below 1000?
The multiple of 3 nearest to and below 1000 is 999. 999/3 = 333 The sum of all the multiples is 3 x 333 x 334/2 = 166833 The multiple of 5 nearest to and below 1000 is 995. 995/5 = 199 The sum of all the multiples is 5 x 199 x 200/2 = 99500
find the average of all multiples of 3 between 100 and 1000?
545
All the multiples of 4 from 1 to 1000?
4
Show all multiples of 3 under 1000?
999/3there are 333 multiples of 3
What is an even multiple of 1000 if your numbers are between 3591 and 5807?
To find an even multiple of 1000 between 3591 and 5807, we need to find the closest multiple of 1000 to the given range. The closest multiple of 1000 below 3591 is 3000, and the closest multiple of 1000 above 5807 is 6000. Since we are looking for an even multiple, we choose the higher multiple, which is 6000. Therefore, 6000 is the even multiple of 1000 within the given range.
All Multiples of 4 from 1 to 1000?
48121620242832364044485256606468727680848892961001041081121161201241281321361401441481521561601641681721761801841881921962002042082122162202242282322362402442482522562602642682722762802842882922963003043083123163203243283323363403443483523563603643683723763803843883923964004044084124164204244284324364404444484524564604644684724764804844884924965005045085125165205245285325365405445485525565605645685725765805845885925966006046086126166206246286326366406446486526566606646686726766806846886926967007047087127167207247287327367407447487527567607647687727767807847887927968008048088128168208248288328368408448488528568608648688728768808848888928969009049089129169209249289329369409449489529569609649689729769809849889929961000If you simply count by "fours", you'll have them all. Thus you start 4, 8, 12, 16 and end with 988, 992, 996, 1000.
What are some numbers that are multiples or 3 and 4 up to 1000?
All multiples of 12, such as 120, 600, 660.
What are all the numbers of that you can multiply by 3 to get up to 1000?
All of its multiples from 3 to 999
What is the sum of all the multiples of 3 or 5 below 1000?
The first multiple of 3 is 3; the last multiple of 3 below 1000 is 999. (This can be determined by dividing 1000 by 3, ignoring the remainder, and then multiplying that number by 3 to determine the largest multiple of 3 less than 1000.) Since 999 is 3 times 333, there are 333 multiples of 3 that are less than 1000. So, consider them by pairs: 1st and 333rd = 3 + 999 = 1002 2nd and 332nd = (2 x 3) + (332 x 3) = 6 + 996 = 1002 3rd and 331st = (3 x 3) + (331 x 3) = 9 + 993 = 1002 up to 166th and 168th = (166 x 3) + (168 x 3) = 498 + 504 = 1002 167th = 501 (which is half of 1002) In other words, since 333 is not an even number, there are (333 - 1)/2 = 166 pairs, plus that extra half of a pair. The sum of all the multiples of 3 less than 1000 is 166.5 x 1002 = 166,833. The same can be done for the multiples of 5. The first multiple of 5 is 5; the last multiple of 5 below 1000 is 995. (This can be determined by dividing 1000 by 5, subtracting 1 since it divided evenly and you need the largest multiple less than 1000, and then multiplying that number by 5 to determine the largest multiple of 5 less than 1000.) Since 995 is 5 times 199, there are 199 multiples of 5 that are less than 1000. So, consider these by pairs as well.e are 1st and 199 = 5 + 995 = 1000 2nd and 198 = 10 + 990 = 1000 up to 100th = 500 (which is half of 1000) In other words, since 199 is not an even number, there are (199 - 1)/2 = 99 pairs, plus that extra half of a pair. So, the sum of all the multiples of 5 less than 1000 is 99.5 x 1000 = 99,500. If the desired answer is the sum of all numbers less than 1000 that are either multiples of 3 or 5, then the numbers that are multiples of both 3 and 5 have been included twice - once as multiples of 3 and again as multiples of 5. So, since all numbers that are both multiples of 3 and multiples of 5 are multiples of 15, determine the sum of all the multiples of 15 and subtract it from the sum of the multiples of 3 and the multiples of 5. We can repeat the same procedure again. The first multiple of 15 is 15; the last multiple of 15 less than 1000 is 990. Since 990 is 15 x 66, there are 66 multiples of 15 less than 1000. 1st and 66th = 15 + 990 = 1005 2nd and 65th = 30 + 975 = 1005 and so on Since 66 is an even number, there are 66/2 = 33 pairs. So the sum of all the multiples of 15 less than 1000 is 33 x 1005 = 33,165. The sum of all the multiples of 3 and all the multiples of 5, but not counting them twice, is 166,833 + 99,500 - 33,165 = 233,168.
Which of the numbers below is NOT a multiple of 7?
There are no multiples of 7 down there, nor are there any NON-multiples of 7 . The truth is that there are no numbers at all below.
