Q: What are the prime factors of the number 13,443,645?

 A: 3, 5, 47, 19069

Why are those the prime factors of the number 13,443,645?

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 13,443,645

13,443,645
Factor Arrows
34,481,215
Factor Arrows
5896,243
Factor Arrows
4719,069

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, 5, 47, 19069

We can check our work by multiplying all of the prime factors together: 3 x 5 x 47 x 19,069 = 13,443,645

This can also be written as 31 x 51 x 471 x 19,0691 = 13,443,645

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


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