Q: What are the prime factors of the number 59,867,976?

 A: 2, 3, 7, 367, 971

Why are those the prime factors of the number 59,867,976?

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 59,867,976

59,867,976
Factor Arrows
229,933,988
Factor Arrows
214,966,994
Factor Arrows
27,483,497
Factor Arrows
32,494,499
Factor Arrows
7356,357
Factor Arrows
367971

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, 7, 367, 971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 367 x 971 = 59,867,976

This can also be written as 23 x 31 x 71 x 3671 x 9711 = 59,867,976

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


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