Q: What are the prime factors of the number 79,050,180?

 A: 2, 3, 5, 11, 119773

Why are those the prime factors of the number 79,050,180?

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 79,050,180

79,050,180
Factor Arrows
239,525,090
Factor Arrows
219,762,545
Factor Arrows
36,587,515
Factor Arrows
51,317,503
Factor Arrows
11119,773

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, 5, 11, 119773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 119,773 = 79,050,180

This can also be written as 22 x 31 x 51 x 111 x 119,7731 = 79,050,180

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


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