Q: What are the prime factors of the number 86,004,144?

 A: 2, 3, 61, 9791

Why are those the prime factors of the number 86,004,144?

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 86,004,144

86,004,144
Factor Arrows
243,002,072
Factor Arrows
221,501,036
Factor Arrows
210,750,518
Factor Arrows
25,375,259
Factor Arrows
31,791,753
Factor Arrows
3597,251
Factor Arrows
619,791

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, 3, 61, 9791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 61 x 9,791 = 86,004,144

This can also be written as 24 x 32 x 611 x 9,7911 = 86,004,144

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


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