Q: What are the prime factors of the number 244,204,120?

 A: 2, 5, 317, 19259

Why are those the prime factors of the number 244,204,120?

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 244,204,120

244,204,120
Factor Arrows
2122,102,060
Factor Arrows
261,051,030
Factor Arrows
230,525,515
Factor Arrows
56,105,103
Factor Arrows
31719,259

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, 317, 19259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 317 x 19,259 = 244,204,120

This can also be written as 23 x 51 x 3171 x 19,2591 = 244,204,120

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


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