Q: What are the prime factors of the number 620,024,316?

 A: 2, 3, 53, 239, 4079

Why are those the prime factors of the number 620,024,316?

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 620,024,316

620,024,316
Factor Arrows
2310,012,158
Factor Arrows
2155,006,079
Factor Arrows
351,668,693
Factor Arrows
53974,881
Factor Arrows
2394,079

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, 53, 239, 4079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 239 x 4,079 = 620,024,316

This can also be written as 22 x 31 x 531 x 2391 x 4,0791 = 620,024,316

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


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