Because when you divide 5 into 35, the answer is a whole number. There is no remainder.
Because it is the highest number that will divide into both of them with no remainder
These numbers are divided by 5 without remainder, so their common factor must be divided by 5 without remainder aswell. Let's start from 45 stepping over 5 and skipping any unmatching result: not 45, not 40, not 35, not 20 (since none of 45 and 70 divide these without reminder), but it's 15 (which gives us 45/15 = 3 and 70/15 = 5, here both results are round numbers, which gives us 15 as the answer).
5, 15, 25, 35
The GCF of 35, 84 and 56 is 7. This leaves a remainder of 5, 12 and 8. There is no further common factor other than 1 for the resulting numbers.
5
3 with a remainder of 15 or 3.4286
If there is a remainder of 8 when they divide into 113, then they must be factors of 113 - 8 = 105, but not factors of 113, and greater than 8: The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105 The factors of 113 are: 1, 113 Thus the 3 numbers which divide 113 with a remainder of 8 are 15, 21, 35, 105 (oops, there are 4 numbers which satisfy the criteria - I never could count...)
All numbers of that kind: 5, 15, 25, 35, 45, 55, 65... 105, 115... and so on
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. They are the only numbers that will divide evenly with no remainder into 105.
All numbers that leave a remainder when divided by 35.
Because when you divide 5 into 35, the answer is a whole number. There is no remainder.
35.7143
Simply enough, divide. Example 1: What is 105/7? Well, since 7 goes into 10 once, remainder 3, and into 35 five times, the answer is 15. Example 2: What is 150/13? We divide 15/13 and get 1, remainder 2. "Bring down" the 2, and we divide 20/13 and get 1, remainder 7. So the answer is 11 7/13.
Because 7 and 5 divide into 35 evenly with no remainder.
Divide both numbers by 5 changes the ratio to: 7 and 3
A factor of a number is any number which the original number can divide into evenly. That is to say, can divide into without leaving a remainder, decimal or fraction. The factors of 15 are: 1, 3, 5 and 15 The factors of 20 are: 1, 2, 4, 5, 10 and 20. The factors of 35 are: 1, 5, 7 and 35.