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Q: How many numbers less than 100 are divisible by 3 and 5?

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How many numbers less than 700 are divisible by both 15 and 21?

There are 83 numbers less than 1,000 that are divisible by both three and four.

333 of them.

75,000,000,000 of them.

17 odd numbers.

19

19

56 of them.

There are 8 odd numbers less than 50 that are divisible by 3 They are 3, 9, 15, 21, 27, 33, 39, and 45.

18 numbers are there

858

49

49

Thirty-three

109

Four of them.

130 numbers

14 of them.

There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.

55,50,45,40,35,30,25,20,15,10,5

14. Assuming dealing with only counting numbers (ie integers greater than 0): Numbers divisible by 5 or 7 are their multiples. 50 ÷ 5 = 10 → last multiple of 5 less than 50 is 9 x 5 → 9 numbers less than 50 are divisible by 5 50 ÷ 7 = 71/7 → last multiple of 7 less than 50 is 7 x 7 → 7 numbers less than 50 are divisible by 7 Numbers divisible by both are those which are multiples of their lowest common multiple = 35 50 ÷ 35 = 115/35 → last multiple of 35 less than 50 is 1 x 35 → 1 number less than 50 is divisible by both 5 and 7 and needs to be removed from both the above counts. → (9 - 1) + (7 - 1) = 14 numbers less than 50 are divisible by 5 or 7 but not both. If there is no restriction on numbers being greater than 0, there are infinitely many numbers as it includes the infinite number of negative numbers which are all less than 50 and provide an infinite number of numbers divisible by 5 or 7 but not both.

From 1 (inclusive) to 1000(inclusive,) 750.

12

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,.

There are 90 integers less than 1,000 that are divisible by 11.