Q: What are the prime factors of the number 86,111,488?

 A: 2, 336373

Why are those the prime factors of the number 86,111,488?

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 86,111,488

86,111,488
Factor Arrows
243,055,744
Factor Arrows
221,527,872
Factor Arrows
210,763,936
Factor Arrows
25,381,968
Factor Arrows
22,690,984
Factor Arrows
21,345,492
Factor Arrows
2672,746
Factor Arrows
2336,373

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, 336373

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 2 x 2 x 336,373 = 86,111,488

This can also be written as 28 x 336,3731 = 86,111,488

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


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