Q: What are the prime factors of the number 620,113,280?

 A: 2, 5, 179, 5413

Why are those the prime factors of the number 620,113,280?

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 620,113,280

620,113,280
Factor Arrows
2310,056,640
Factor Arrows
2155,028,320
Factor Arrows
277,514,160
Factor Arrows
238,757,080
Factor Arrows
219,378,540
Factor Arrows
29,689,270
Factor Arrows
24,844,635
Factor Arrows
5968,927
Factor Arrows
1795,413

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, 5, 179, 5413

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 2 x 5 x 179 x 5,413 = 620,113,280

This can also be written as 27 x 51 x 1791 x 5,4131 = 620,113,280

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


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