Q: What are the prime factors of the number 102,473,259?

 A: 3, 7, 31, 113, 199

Why are those the prime factors of the number 102,473,259?

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 102,473,259

102,473,259
Factor Arrows
334,157,753
Factor Arrows
74,879,679
Factor Arrows
7697,097
Factor Arrows
3122,487
Factor Arrows
113199

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:

3, 7, 31, 113, 199

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 31 x 113 x 199 = 102,473,259

This can also be written as 31 x 72 x 311 x 1131 x 1991 = 102,473,259

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


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