Q: What are the prime factors of the number 537,044,556?

 A: 2, 3, 107, 418259

Why are those the prime factors of the number 537,044,556?

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 537,044,556

537,044,556
Factor Arrows
2268,522,278
Factor Arrows
2134,261,139
Factor Arrows
344,753,713
Factor Arrows
107418,259

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, 107, 418259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 107 x 418,259 = 537,044,556

This can also be written as 22 x 31 x 1071 x 418,2591 = 537,044,556

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


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