Q: What are the prime factors of the number 242,189,630?

 A: 2, 5, 24218963

Why are those the prime factors of the number 242,189,630?

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 242,189,630

242,189,630
Factor Arrows
2121,094,815
Factor Arrows
524,218,963

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, 24218963

We can check our work by multiplying all of the prime factors together: 2 x 5 x 24,218,963 = 242,189,630

This can also be written as 21 x 51 x 24,218,9631 = 242,189,630

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


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