Q: What are the prime factors of the number 15,432,340?

 A: 2, 5, 7, 11, 911

Why are those the prime factors of the number 15,432,340?

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 15,432,340

15,432,340
Factor Arrows
27,716,170
Factor Arrows
23,858,085
Factor Arrows
5771,617
Factor Arrows
7110,231
Factor Arrows
1110,021
Factor Arrows
11911

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, 5, 7, 11, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 11 x 911 = 15,432,340

This can also be written as 22 x 51 x 71 x 112 x 9111 = 15,432,340

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


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