Q: What are the prime factors of the number 616,208,670?

 A: 2, 3, 5, 7, 11, 88919

Why are those the prime factors of the number 616,208,670?

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 616,208,670

616,208,670
Factor Arrows
2308,104,335
Factor Arrows
3102,701,445
Factor Arrows
334,233,815
Factor Arrows
56,846,763
Factor Arrows
7978,109
Factor Arrows
1188,919

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, 5, 7, 11, 88919

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 11 x 88,919 = 616,208,670

This can also be written as 21 x 32 x 51 x 71 x 111 x 88,9191 = 616,208,670

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


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