Q: What are the prime factors of the number 504,243,348?

 A: 2, 3, 7, 739, 8123

Why are those the prime factors of the number 504,243,348?

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 504,243,348

504,243,348
Factor Arrows
2252,121,674
Factor Arrows
2126,060,837
Factor Arrows
342,020,279
Factor Arrows
76,002,897
Factor Arrows
7398,123

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, 7, 739, 8123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 739 x 8,123 = 504,243,348

This can also be written as 22 x 31 x 71 x 7391 x 8,1231 = 504,243,348

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


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