Q: What are the prime factors of the number 102,080,727?

 A: 3, 7, 1620329

Why are those the prime factors of the number 102,080,727?

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 102,080,727

102,080,727
Factor Arrows
334,026,909
Factor Arrows
311,342,303
Factor Arrows
71,620,329

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, 1620329

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 1,620,329 = 102,080,727

This can also be written as 32 x 71 x 1,620,3291 = 102,080,727

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


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