Q: What are the prime factors of the number 77,721,324?

 A: 2, 3, 19, 23, 14821

Why are those the prime factors of the number 77,721,324?

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 77,721,324

77,721,324
Factor Arrows
238,860,662
Factor Arrows
219,430,331
Factor Arrows
36,476,777
Factor Arrows
19340,883
Factor Arrows
2314,821

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, 19, 23, 14821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 23 x 14,821 = 77,721,324

This can also be written as 22 x 31 x 191 x 231 x 14,8211 = 77,721,324

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


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