Q: What are the prime factors of the number 616,634,220?

 A: 2, 3, 5, 103, 113, 883

Why are those the prime factors of the number 616,634,220?

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 616,634,220

616,634,220
Factor Arrows
2308,317,110
Factor Arrows
2154,158,555
Factor Arrows
351,386,185
Factor Arrows
510,277,237
Factor Arrows
10399,779
Factor Arrows
113883

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, 103, 113, 883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 103 x 113 x 883 = 616,634,220

This can also be written as 22 x 31 x 51 x 1031 x 1131 x 8831 = 616,634,220

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


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