Q: What are the prime factors of the number 616,042,702?

 A: 2, 11, 17, 13613

Why are those the prime factors of the number 616,042,702?

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 616,042,702

616,042,702
Factor Arrows
2308,021,351
Factor Arrows
1128,001,941
Factor Arrows
112,545,631
Factor Arrows
11231,421
Factor Arrows
1713,613

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, 11, 17, 13613

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 11 x 17 x 13,613 = 616,042,702

This can also be written as 21 x 113 x 171 x 13,6131 = 616,042,702

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


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