Q: What are the prime factors of the number 720,061,230?

 A: 2, 3, 5, 7, 23, 43, 3467

Why are those the prime factors of the number 720,061,230?

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 720,061,230

720,061,230
Factor Arrows
2360,030,615
Factor Arrows
3120,010,205
Factor Arrows
524,002,041
Factor Arrows
73,428,863
Factor Arrows
23149,081
Factor Arrows
433,467

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, 7, 23, 43, 3467

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 23 x 43 x 3,467 = 720,061,230

This can also be written as 21 x 31 x 51 x 71 x 231 x 431 x 3,4671 = 720,061,230

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


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