Q: What are the prime factors of the number 13,414,144?

 A: 2, 61, 859

Why are those the prime factors of the number 13,414,144?

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 13,414,144

13,414,144
Factor Arrows
26,707,072
Factor Arrows
23,353,536
Factor Arrows
21,676,768
Factor Arrows
2838,384
Factor Arrows
2419,192
Factor Arrows
2209,596
Factor Arrows
2104,798
Factor Arrows
252,399
Factor Arrows
61859

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, 61, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61 x 859 = 13,414,144

This can also be written as 28 x 611 x 8591 = 13,414,144

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


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