Q: What are the prime factors of the number 544,255,124?

 A: 2, 7, 2441, 7963

Why are those the prime factors of the number 544,255,124?

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 544,255,124

544,255,124
Factor Arrows
2272,127,562
Factor Arrows
2136,063,781
Factor Arrows
719,437,683
Factor Arrows
2,4417,963

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, 7, 2441, 7963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 2,441 x 7,963 = 544,255,124

This can also be written as 22 x 71 x 2,4411 x 7,9631 = 544,255,124

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


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