Q: What are the prime factors of the number 13,250,432?

 A: 2, 13, 7963

Why are those the prime factors of the number 13,250,432?

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 13,250,432

13,250,432
Factor Arrows
26,625,216
Factor Arrows
23,312,608
Factor Arrows
21,656,304
Factor Arrows
2828,152
Factor Arrows
2414,076
Factor Arrows
2207,038
Factor Arrows
2103,519
Factor Arrows
137,963

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, 13, 7963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 7,963 = 13,250,432

This can also be written as 27 x 131 x 7,9631 = 13,250,432

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


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