Q: What are the prime factors of the number 58,750,880?

 A: 2, 5, 131, 2803

Why are those the prime factors of the number 58,750,880?

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 58,750,880

58,750,880
Factor Arrows
229,375,440
Factor Arrows
214,687,720
Factor Arrows
27,343,860
Factor Arrows
23,671,930
Factor Arrows
21,835,965
Factor Arrows
5367,193
Factor Arrows
1312,803

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, 131, 2803

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 131 x 2,803 = 58,750,880

This can also be written as 25 x 51 x 1311 x 2,8031 = 58,750,880

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


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