Q: What are the prime factors of the number 86,240?

 A: 2, 5, 7, 11

Why are those the prime factors of the number 86,240?

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 86,240

86,240
Factor Arrows
243,120
Factor Arrows
221,560
Factor Arrows
210,780
Factor Arrows
25,390
Factor Arrows
22,695
Factor Arrows
5539
Factor Arrows
777
Factor Arrows
711

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, 11

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 11 = 86,240

This can also be written as 25 x 51 x 72 x 111 = 86,240

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


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