Q: What are the prime factors of the number 59,773,376?

 A: 2, 13, 71843

Why are those the prime factors of the number 59,773,376?

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 59,773,376

59,773,376
Factor Arrows
229,886,688
Factor Arrows
214,943,344
Factor Arrows
27,471,672
Factor Arrows
23,735,836
Factor Arrows
21,867,918
Factor Arrows
2933,959
Factor Arrows
1371,843

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, 13, 71843

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 13 x 71,843 = 59,773,376

This can also be written as 26 x 131 x 71,8431 = 59,773,376

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


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