Q: What are the prime factors of the number 616,344,246?

 A: 2, 3, 7, 99829

Why are those the prime factors of the number 616,344,246?

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 616,344,246

616,344,246
Factor Arrows
2308,172,123
Factor Arrows
3102,724,041
Factor Arrows
334,241,347
Factor Arrows
74,891,621
Factor Arrows
7698,803
Factor Arrows
799,829

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, 7, 99829

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 7 x 7 x 99,829 = 616,344,246

This can also be written as 21 x 32 x 73 x 99,8291 = 616,344,246

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


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