Q: What are the prime factors of the number 620,024,320?

 A: 2, 5, 242197

Why are those the prime factors of the number 620,024,320?

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 620,024,320

620,024,320
Factor Arrows
2310,012,160
Factor Arrows
2155,006,080
Factor Arrows
277,503,040
Factor Arrows
238,751,520
Factor Arrows
219,375,760
Factor Arrows
29,687,880
Factor Arrows
24,843,940
Factor Arrows
22,421,970
Factor Arrows
21,210,985
Factor Arrows
5242,197

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, 242197

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 2 x 2 x 5 x 242,197 = 620,024,320

This can also be written as 29 x 51 x 242,1971 = 620,024,320

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


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