Q: What are the prime factors of the number 616,033,344?

 A: 2, 3, 3208507

Why are those the prime factors of the number 616,033,344?

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 616,033,344

616,033,344
Factor Arrows
2308,016,672
Factor Arrows
2154,008,336
Factor Arrows
277,004,168
Factor Arrows
238,502,084
Factor Arrows
219,251,042
Factor Arrows
29,625,521
Factor Arrows
33,208,507

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, 3208507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3,208,507 = 616,033,344

This can also be written as 26 x 31 x 3,208,5071 = 616,033,344

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


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