Q: What are the prime factors of the number 13,143,488?

 A: 2, 23, 8929

Why are those the prime factors of the number 13,143,488?

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 13,143,488

13,143,488
Factor Arrows
26,571,744
Factor Arrows
23,285,872
Factor Arrows
21,642,936
Factor Arrows
2821,468
Factor Arrows
2410,734
Factor Arrows
2205,367
Factor Arrows
238,929

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, 23, 8929

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 23 x 8,929 = 13,143,488

This can also be written as 26 x 231 x 8,9291 = 13,143,488

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


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