What are the factors of 90?

Question

Jimmy Macias · Accepted Answer

See a solution process below:
Explanation:
First, because 90 is an even number we can factor out a 2:

90 = 2 \times 45

Because 45 ends in a 5 it is divisible by 5 so we can factor out a 5:

90 = 2 \times 5 \times 9

We know 9 is divisible by 3 so we can factor our a 3:

90 = 2 \times 5 \times 3 \times 3

or

90 = 2 \times 3 \times 3 \times 5

vicki331g8 · Accepted Answer

Explanation:
When dealing with factors, you can list all the factors, or write a number as the product of the prime factors.
If you know the product of the prime factors you can use those to determine all the other factors.

90 = 10 \times 9

∴ 90 = 2 \times 5 \times 3 \times 3 = 2 \times 3 \times 3 \times 5

Listing the factors using these prime factors can be done as follows:
1 at a time: 1 , 2 , 3 , 5
Product of 2 prime factors at a time: 6 , 10 , 9 , 15
Product of 3 prime factors at a time: 18 , 30 , 45
Product of 4 prime factors at a time: 90
The factors work in pairs, a big one with a small one.
Half of the factors are smaller than

\sqrt{90}

and half are bigger.

\sqrt{90} = 9

In order they are:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

{\sqrt{90}}^{u} p \Rightarrow

RizerMix · Accepted Answer

Explanation:
One way is to find pairs of number that multiply to 90 it is important though to be systematic so that you ensure you find them all.
$90 = 1 \times 90$
$90 = 2 \times 45$
$90 = 3 \times 30$
$90 = 5 \times 18$
$90 = 6 \times 15$
$0 = 9 \times 10$
$90 = 10 \times 9$
and the we repeat
so factors
{1,2,3,5,6,9,10,15,18,30,45,90}

What are the factors of 90?

Answered question

Answer & Explanation

New Questions in Pre-Algebra