Q: What are the prime factors of the number 130,366,269?

 A: 3, 11, 1316831

Why are those the prime factors of the number 130,366,269?

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 130,366,269

130,366,269
Factor Arrows
343,455,423
Factor Arrows
314,485,141
Factor Arrows
111,316,831

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, 11, 1316831

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 1,316,831 = 130,366,269

This can also be written as 32 x 111 x 1,316,8311 = 130,366,269

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


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