Q: What are the prime factors of the number 622,553,176?

 A: 2, 7, 11117021

Why are those the prime factors of the number 622,553,176?

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 622,553,176

622,553,176
Factor Arrows
2311,276,588
Factor Arrows
2155,638,294
Factor Arrows
277,819,147
Factor Arrows
711,117,021

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, 7, 11117021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11,117,021 = 622,553,176

This can also be written as 23 x 71 x 11,117,0211 = 622,553,176

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


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