Q: What are the prime factors of the number 514,635,144?

 A: 2, 3, 21443131

Why are those the prime factors of the number 514,635,144?

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 514,635,144

514,635,144
Factor Arrows
2257,317,572
Factor Arrows
2128,658,786
Factor Arrows
264,329,393
Factor Arrows
321,443,131

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, 21443131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 21,443,131 = 514,635,144

This can also be written as 23 x 31 x 21,443,1311 = 514,635,144

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


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