Q: What are the prime factors of the number 13,018,848?

 A: 2, 3, 135613

Why are those the prime factors of the number 13,018,848?

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 13,018,848

13,018,848
Factor Arrows
26,509,424
Factor Arrows
23,254,712
Factor Arrows
21,627,356
Factor Arrows
2813,678
Factor Arrows
2406,839
Factor Arrows
3135,613

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, 135613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 135,613 = 13,018,848

This can also be written as 25 x 31 x 135,6131 = 13,018,848

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


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