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Q: The total number of months in a year are divisible by which numbers?
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Find total number of integers between 100 and 200 that are divisible by 3 and not divisible by 5 nor by 7?

There are 22 such numbers.


How can we Describe a rule for deciding if a number is divisible by three consider numbers greater than 1000?

The rule for deciding if a number is divisible by 3 is to add up the digits of the number. If that total is a multiple of 3, the original number is as well. This applies to numbers of any length.


What is the smallest digit that can be placed in the blank so that 67 and 45 is divisible by 3?

Let's assume, or hope, that the blank is after those numbers. 67_ and 45_ For a number to be divisible by three, the total of the number's digits has to be divisible by three. 672 and 450


How many numbers between 0 100 are divisible by 7?

There are a total of 14 numbers between 0 & 100 that are divisible by 7.


All numbers that are divisible by 6?

All numbers that are divisible by 6 are even numbers whose digits add up to 3 or a multiple of 3. Example : 284 is not wholly divisible by 6 as although it is even, its digits total 2 + 8 + 4 = 14 which is not divisible by 3. 282 is divisible by 6 as it is even and its digits total 12 which is divisible by 3.


Is 164 a multiple of 3?

No. (A short cut to check if a number is divisible by 3. Add all the numbers and if the total divides by 3, then the number will divide by 3. eg 1+6+4 =11, which is not divisible by 3 therefore 164 is not divisible by 3)


What numbers can you divide evenly by 9?

Any multiple of 9. In other words, any number of the form 9 * n. Add the digits of the number. If that total is divisible by nine, so is the original number. Example: 12,345,678. The digits total 36. 36 is divisible by 9. So is 12,345,678.


What is the total number of integers between 100 and 300 that are divisible by 3?

The total number of integers between 100 and 300 that are divisible by three is 66.


How many numbers between 1 and 100 are divisible by 3 or 7?

33 divisible by 3. 14 divisible by 7. 4 divisible by both. Total: 43


What is the divisibility rule of 3?

all digits in the number must total to a number divisible by 3 when added up e.g 156=1+5+6=12 which is divisible by 3 you can proove this using other numbers eg 39,24,1107 e.t.c


How do you know if the number is divisible by 15?

All numbers divisible by 5 (of which 15 is a multiple) have a final digit of 0 or 5. All numbers divisible by 3 (of which 15 is a multiple) have the sum of the digits totalling 3 or a multiple of 3. Therefore, a number is divisible by 15 if the sum of its digits total 3 or a multiple of 3 and its final digit is 0 or 5. Example : 32085 ; 3 + 2 + 0 + 8 + 5 = 18 which is divisible by 3. Final digit 5. This number is divisible by 15. (32085 ÷ 15 = 2139) 7420 : 7 + 4 + 2 + 0 = 13. This number is not divisible by 15.


Is the total number of natural numbers same as the total number of prime numbers?

No.