Q: What are the prime factors of the number 15,427,347?

 A: 3, 13, 17, 23269

Why are those the prime factors of the number 15,427,347?

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 15,427,347

15,427,347
Factor Arrows
35,142,449
Factor Arrows
13395,573
Factor Arrows
1723,269

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, 13, 17, 23269

We can check our work by multiplying all of the prime factors together: 3 x 13 x 17 x 23,269 = 15,427,347

This can also be written as 31 x 131 x 171 x 23,2691 = 15,427,347

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


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