Q: What are the prime factors of the number 514,314,045?

 A: 3, 5, 7, 41, 5689

Why are those the prime factors of the number 514,314,045?

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 514,314,045

514,314,045
Factor Arrows
3171,438,015
Factor Arrows
357,146,005
Factor Arrows
511,429,201
Factor Arrows
71,632,743
Factor Arrows
7233,249
Factor Arrows
415,689

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:

3, 5, 7, 41, 5689

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 7 x 41 x 5,689 = 514,314,045

This can also be written as 32 x 51 x 72 x 411 x 5,6891 = 514,314,045

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


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