Q: What are the prime factors of the number 613,841,220?

 A: 2, 3, 5, 97, 11719

Why are those the prime factors of the number 613,841,220?

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 613,841,220

613,841,220
Factor Arrows
2306,920,610
Factor Arrows
2153,460,305
Factor Arrows
351,153,435
Factor Arrows
317,051,145
Factor Arrows
35,683,715
Factor Arrows
51,136,743
Factor Arrows
9711,719

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, 5, 97, 11719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 97 x 11,719 = 613,841,220

This can also be written as 22 x 33 x 51 x 971 x 11,7191 = 613,841,220

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


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