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Numbers Index

GCSE Maths Foundation Level

Numbers - Factors

The factors of 2 are 1 and 2 because 2 divides by 1 and 2

The factors of 3 are 1 and 3 because 3 divides by 1 and 3

The factors of 4 are 1, 2 and 4 because 4 divides by 1, 2 and 4

The factors of 5 are 1 and 5 because 5 divides by 1 and 5

The factors of 6 are 1, 2, 3 and 6 because 6 divides by 1, 2, 3 and 6

The factors of 7 are 1 and 7 because 7 divides by 1 and 7

The factors of 12 are 1, 2, 3, 4, 6 and 12 because 12 divides by 1, 2, 3, 4, 6 and 12

So, 1 is a factor of any number?
Yes
number divided by 1 = number
number ÷ 1 = number
So, yes, 1 is a factor any number.

So, any number is a factor of itself?
Yes
number divided by number = 1
number ÷ number = 1
So, yes, every number is a factor of itself.

Also, have I understood this correctly,
if a first number divides by a second number
then the second number is a factor of the first number?

Yes
2 divides by 1 so 1 is a factor of 2
6 divides by 3 so 3 is a factor of 6
20 divides by 5 so 5 is a factor of 20

So, is a factor of a number, either
the number itself
OR
another number which the first number divides by?

Correct.

If I say to myself
"multiply to get a multiple
divide to test for a factor"

will I have the correct idea?

Yes

SAMPLE QUESTION

4    6    8    10    12    36

Which of these numbers is a factor of 18?

Factor Pairs Of A Number

Find All Factors Of A Number

Common Factors Of Two Numbers

Question:

So a number can not have a greater number as a factor?
Correct

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