Q: What are the prime factors of the number 524,053,044?

 A: 2, 3, 101, 107, 449

Why are those the prime factors of the number 524,053,044?

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 524,053,044

524,053,044
Factor Arrows
2262,026,522
Factor Arrows
2131,013,261
Factor Arrows
343,671,087
Factor Arrows
314,557,029
Factor Arrows
34,852,343
Factor Arrows
10148,043
Factor Arrows
107449

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, 101, 107, 449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 101 x 107 x 449 = 524,053,044

This can also be written as 22 x 33 x 1011 x 1071 x 4491 = 524,053,044

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


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