Q: What are the prime factors of the number 609,720?

 A: 2, 3, 5, 5081

Why are those the prime factors of the number 609,720?

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 609,720

609,720
Factor Arrows
2304,860
Factor Arrows
2152,430
Factor Arrows
276,215
Factor Arrows
325,405
Factor Arrows
55,081

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, 5081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5,081 = 609,720

This can also be written as 23 x 31 x 51 x 5,0811 = 609,720

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


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