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Well, honey, let me break it down for you. To find the number of integers from 1 to 1000 that are divisible by 30 but not by 16, you first need to figure out how many numbers are divisible by 30. Then, subtract the numbers that are divisible by both 30 and 16. Finally, you'll have your answer. So get those calculators out and start crunching those numbers!
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Vivi
Jordan
ReneThere are 1000 integers from 1 to 1000. Only the multiples of 30 of these integers are divisible by 30, such as 30, 60, 90, 120, 150, 180, 210, 240, ..., 990.
Since the LCM of 16 and 30 is 240, then only 7 integers from 1 to 1,000 are divisible by 30 but not by 16, which are 30, 60, 90, 120, 150, 180, and 210.
(Prime factorization:
30 = 2 x 3 x 5
16 = 24
The LCM of 30 and 16 is 24 x 3 x 5 = 240.)
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Is 1000 divisible by 16?
No.
If a and b are positive integers neither of which is divisible be 10 and if ab equals 10000 what is the sum of a plus b?
625*16=10000625+16=641
How many numbers that are divisible by 6 out of 100?
There are 16 positive numbers smaller than 100 that are directly divisible by 6.
Are all numbers divisible by 16 are also divisible by 2 and 4?
yes it is because 16 is divisible by 2,4,and 8
How many numbers between 100 and 1000 are divisible by 6?
Well, darling, you simply divide the range by the divisor and add 1 if the starting number is divisible by the divisor. In this case, you divide 1000 by 6 and subtract the result of dividing 100 by 6. So, (1000/6) - (100/6) + 1 = 166 - 16 + 1 = 151 numbers between 100 and 1000 are divisible by 6. Hope that tickles your fancy!
