Q: What are the prime factors of the number 130,506,425?

 A: 5, 7, 745751

Why are those the prime factors of the number 130,506,425?

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 130,506,425

130,506,425
Factor Arrows
526,101,285
Factor Arrows
55,220,257
Factor Arrows
7745,751

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:

5, 7, 745751

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 745,751 = 130,506,425

This can also be written as 52 x 71 x 745,7511 = 130,506,425

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


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