Q: What are the prime factors of the number 621,644,324?

 A: 2, 7, 743, 29881

Why are those the prime factors of the number 621,644,324?

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 621,644,324

621,644,324
Factor Arrows
2310,822,162
Factor Arrows
2155,411,081
Factor Arrows
722,201,583
Factor Arrows
74329,881

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, 7, 743, 29881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 743 x 29,881 = 621,644,324

This can also be written as 22 x 71 x 7431 x 29,8811 = 621,644,324

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


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