Q: What are the prime factors of the number 13,444,068?

 A: 2, 3, 11, 47, 197

Why are those the prime factors of the number 13,444,068?

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 13,444,068

13,444,068
Factor Arrows
26,722,034
Factor Arrows
23,361,017
Factor Arrows
31,120,339
Factor Arrows
11101,849
Factor Arrows
119,259
Factor Arrows
47197

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, 11, 47, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 47 x 197 = 13,444,068

This can also be written as 22 x 31 x 112 x 471 x 1971 = 13,444,068

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


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