Q: What are the prime factors of the number 544,160,544?

 A: 2, 3, 5668339

Why are those the prime factors of the number 544,160,544?

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 544,160,544

544,160,544
Factor Arrows
2272,080,272
Factor Arrows
2136,040,136
Factor Arrows
268,020,068
Factor Arrows
234,010,034
Factor Arrows
217,005,017
Factor Arrows
35,668,339

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, 5668339

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5,668,339 = 544,160,544

This can also be written as 25 x 31 x 5,668,3391 = 544,160,544

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


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