Q: What are the prime factors of the number 616,052,634?

 A: 2, 3, 41, 443, 5653

Why are those the prime factors of the number 616,052,634?

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 616,052,634

616,052,634
Factor Arrows
2308,026,317
Factor Arrows
3102,675,439
Factor Arrows
412,504,279
Factor Arrows
4435,653

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, 41, 443, 5653

We can check our work by multiplying all of the prime factors together: 2 x 3 x 41 x 443 x 5,653 = 616,052,634

This can also be written as 21 x 31 x 411 x 4431 x 5,6531 = 616,052,634

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


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