Q: What are the prime factors of the number 616,252,338?

 A: 2, 3, 13, 2633557

Why are those the prime factors of the number 616,252,338?

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 616,252,338

616,252,338
Factor Arrows
2308,126,169
Factor Arrows
3102,708,723
Factor Arrows
334,236,241
Factor Arrows
132,633,557

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, 13, 2633557

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 2,633,557 = 616,252,338

This can also be written as 21 x 32 x 131 x 2,633,5571 = 616,252,338

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


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