Q: What are the prime factors of the number 244,051,605?

 A: 3, 5, 7, 110681

Why are those the prime factors of the number 244,051,605?

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 244,051,605

244,051,605
Factor Arrows
381,350,535
Factor Arrows
327,116,845
Factor Arrows
55,423,369
Factor Arrows
7774,767
Factor Arrows
7110,681

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:

3, 5, 7, 110681

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 7 x 110,681 = 244,051,605

This can also be written as 32 x 51 x 72 x 110,6811 = 244,051,605

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


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