Q: What are the prime factors of the number 11,770,432?

 A: 2, 353, 521

Why are those the prime factors of the number 11,770,432?

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 11,770,432

11,770,432
Factor Arrows
25,885,216
Factor Arrows
22,942,608
Factor Arrows
21,471,304
Factor Arrows
2735,652
Factor Arrows
2367,826
Factor Arrows
2183,913
Factor Arrows
353521

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, 353, 521

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 353 x 521 = 11,770,432

This can also be written as 26 x 3531 x 5211 = 11,770,432

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


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