Q: What are the prime factors of the number 544,330,822?

 A: 2, 7, 167, 232819

Why are those the prime factors of the number 544,330,822?

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 544,330,822

544,330,822
Factor Arrows
2272,165,411
Factor Arrows
738,880,773
Factor Arrows
167232,819

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, 7, 167, 232819

We can check our work by multiplying all of the prime factors together: 2 x 7 x 167 x 232,819 = 544,330,822

This can also be written as 21 x 71 x 1671 x 232,8191 = 544,330,822

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


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