What are the factors of 90?

Question

Aurora Arias · Accepted Answer

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

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=1xx90#

#90=2xx45#

#90=3xx30#

#90=5xx18#

#90=6xx15#

#90=9xx10#

#90=10xx9#

and the we repeat

so factors

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

Aurora Arias · Answer

See a solution process below:

First, because 90 is an even number we can factor out a 2: #90 = 2 xx 45# Because 45 ends in a 5 it is divisible by 5 so we can factor out a 5: #90 = 2 xx 5 xx 9# We know 9 is divisible by 3 so we can factor our a 3: #90 = 2 xx 5 xx 3 xx 3# or #90 = 2 xx 3 xx 3 xx 5#

Everly Taylor · Answer

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

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 xx9#

#:. 90 = 2xx5xx3xx3 " "= 2xx3xx3xx5#

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 #sqrt90# and half are bigger. #sqrt90 = 9. ....#

In order they are:

#1," "2," "3," "5," "6," "9," "10," "15," "18," "30," "45," "90# #color(white)(xxxxxxxxccccxxxx.xxxxx)uarr# #color(white)(xxxxxxxxxxxx,.....x)sqrt90#

Zoe Adams · Answer

undefined The factors of 90 are the numbers that can be multiplied together to get 90. These factors include:

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