Q: What are the prime factors of the number 88,370,240?

 A: 2, 5, 7, 39451

Why are those the prime factors of the number 88,370,240?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 88,370,240

88,370,240
Factor Arrows
244,185,120
Factor Arrows
222,092,560
Factor Arrows
211,046,280
Factor Arrows
25,523,140
Factor Arrows
22,761,570
Factor Arrows
21,380,785
Factor Arrows
5276,157
Factor Arrows
739,451

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 7, 39451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 39,451 = 88,370,240

This can also be written as 26 x 51 x 71 x 39,4511 = 88,370,240

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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