Q: What are the prime factors of the number 13,248,042?

 A: 2, 3, 43, 51349

Why are those the prime factors of the number 13,248,042?

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 13,248,042

13,248,042
Factor Arrows
26,624,021
Factor Arrows
32,208,007
Factor Arrows
4351,349

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, 3, 43, 51349

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 51,349 = 13,248,042

This can also be written as 21 x 31 x 431 x 51,3491 = 13,248,042

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


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