Q: What are the prime factors of the number 545,771,104?

 A: 2, 53, 321799

Why are those the prime factors of the number 545,771,104?

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 545,771,104

545,771,104
Factor Arrows
2272,885,552
Factor Arrows
2136,442,776
Factor Arrows
268,221,388
Factor Arrows
234,110,694
Factor Arrows
217,055,347
Factor Arrows
53321,799

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, 53, 321799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 53 x 321,799 = 545,771,104

This can also be written as 25 x 531 x 321,7991 = 545,771,104

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


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