Q: What are the prime factors of the number 53,979,128?

 A: 2, 7, 963913

Why are those the prime factors of the number 53,979,128?

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 53,979,128

53,979,128
Factor Arrows
226,989,564
Factor Arrows
213,494,782
Factor Arrows
26,747,391
Factor Arrows
7963,913

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, 963913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 963,913 = 53,979,128

This can also be written as 23 x 71 x 963,9131 = 53,979,128

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


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