Q: What are the prime factors of the number 242,066,860?

 A: 2, 5, 7, 247007

Why are those the prime factors of the number 242,066,860?

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 242,066,860

242,066,860
Factor Arrows
2121,033,430
Factor Arrows
260,516,715
Factor Arrows
512,103,343
Factor Arrows
71,729,049
Factor Arrows
7247,007

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, 5, 7, 247007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 247,007 = 242,066,860

This can also be written as 22 x 51 x 72 x 247,0071 = 242,066,860

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


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