Q: What are the prime factors of the number 58,510,480?

 A: 2, 5, 7, 163, 641

Why are those the prime factors of the number 58,510,480?

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 58,510,480

58,510,480
Factor Arrows
229,255,240
Factor Arrows
214,627,620
Factor Arrows
27,313,810
Factor Arrows
23,656,905
Factor Arrows
5731,381
Factor Arrows
7104,483
Factor Arrows
163641

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, 163, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 163 x 641 = 58,510,480

This can also be written as 24 x 51 x 71 x 1631 x 6411 = 58,510,480

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


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