Q: What are the prime factors of the number 244,440,330?

 A: 2, 3, 5, 673, 12107

Why are those the prime factors of the number 244,440,330?

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 244,440,330

244,440,330
Factor Arrows
2122,220,165
Factor Arrows
340,740,055
Factor Arrows
58,148,011
Factor Arrows
67312,107

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, 673, 12107

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 673 x 12,107 = 244,440,330

This can also be written as 21 x 31 x 51 x 6731 x 12,1071 = 244,440,330

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


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