Q: What are the prime factors of the number 104,210,638?

 A: 2, 7, 59, 79, 1597

Why are those the prime factors of the number 104,210,638?

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 104,210,638

104,210,638
Factor Arrows
252,105,319
Factor Arrows
77,443,617
Factor Arrows
59126,163
Factor Arrows
791,597

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, 7, 59, 79, 1597

We can check our work by multiplying all of the prime factors together: 2 x 7 x 59 x 79 x 1,597 = 104,210,638

This can also be written as 21 x 71 x 591 x 791 x 1,5971 = 104,210,638

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


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