Question

Question 5

Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.

Answer 1

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66
`*` 5 = 330. At the same time 22
`*` 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22
`*` 3 = 66, and 66
`*` 5 = 330, so 5
`*` 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

Answer 2

Any multiple of the number will be a factor or result of the number It could factor in or go into an equal amount of times