Q: What are the prime factors of the number 616,303,621?

 A: 29, 47, 139, 3253

Why are those the prime factors of the number 616,303,621?

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 616,303,621

616,303,621
Factor Arrows
2921,251,849
Factor Arrows
47452,167
Factor Arrows
1393,253

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:

29, 47, 139, 3253

We can check our work by multiplying all of the prime factors together: 29 x 47 x 139 x 3,253 = 616,303,621

This can also be written as 291 x 471 x 1391 x 3,2531 = 616,303,621

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


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