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How many numbers less than 10000 are there which are divisible by 21 35 and 63?
To find the numbers less than 10,000 that are divisible by 21, 35, and 63, we need to find the least common multiple (LCM) of these three numbers, which is 441. Then, we divide 10,000 by 441 to find how many multiples of 441 are less than 10,000, which is approximately 22. So, there are 22 numbers less than 10,000 that are divisible by 21, 35, and 63.
How many natural numbers below 660 are divisible by 5 and 11 but not by 3?
8 of the numbers less than 660 are divisible by 5 and 11 but not 3. All numbers divisible by 5 and 11 are multiples of their lcm; lcm(5, 11) = 55 All numbers divisibile by 5, 11 and 3 are multiples of their lcm; lcm(5, 11, 3) = 165 659 ÷ 55 = 11 54/55 → 11 numbers less than 660 are divisible by 5 and 11 659 ÷ 165 = 3 164/165 → 3 numbers less than 660 are divisible by 5, 11 and 3 → of the 11 numbers less than 660 divisible by 5 and 11, 3 are also divisible by 3 → 11 - 3 = 8 numbers less than 660 are divisible by 5 and 11 but not 3,.
How many numbers less than 100 are divisible by 3 and 5?
The numbers that are divisible by both 3 and 5 have to be a factor of 15. That leaves 15, 30, 45, 60, 75, and 90. There are 6 numbers less than 100 divisible by 3 and 5
How many odd numbers less than 50 are divisible by 3?
There are 8 odd numbers less than 50 that are divisible by 3 They are 3, 9, 15, 21, 27, 33, 39, and 45.
Set of counting numbers less than 25 that are divisible by 3?
{3,6,9,12,15,18,21,24}
