Q: What are the prime factors of the number 56,908,488?

 A: 2, 3, 7, 13, 71, 367

Why are those the prime factors of the number 56,908,488?

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 56,908,488

56,908,488
Factor Arrows
228,454,244
Factor Arrows
214,227,122
Factor Arrows
27,113,561
Factor Arrows
32,371,187
Factor Arrows
7338,741
Factor Arrows
1326,057
Factor Arrows
71367

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, 13, 71, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 13 x 71 x 367 = 56,908,488

This can also be written as 23 x 31 x 71 x 131 x 711 x 3671 = 56,908,488

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


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