Q: What are the prime factors of the number 108,207,046?

 A: 2, 61, 199, 4457

Why are those the prime factors of the number 108,207,046?

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 108,207,046

108,207,046
Factor Arrows
254,103,523
Factor Arrows
61886,943
Factor Arrows
1994,457

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, 61, 199, 4457

We can check our work by multiplying all of the prime factors together: 2 x 61 x 199 x 4,457 = 108,207,046

This can also be written as 21 x 611 x 1991 x 4,4571 = 108,207,046

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


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