Q: What are the prime factors of the number 60,309,396?

 A: 2, 3, 7, 179, 191

Why are those the prime factors of the number 60,309,396?

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 60,309,396

60,309,396
Factor Arrows
230,154,698
Factor Arrows
215,077,349
Factor Arrows
35,025,783
Factor Arrows
31,675,261
Factor Arrows
7239,323
Factor Arrows
734,189
Factor Arrows
179191

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, 7, 179, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 179 x 191 = 60,309,396

This can also be written as 22 x 32 x 72 x 1791 x 1911 = 60,309,396

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


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