Q: What are the prime factors of the number 4,128,352?

 A: 2, 129011

Why are those the prime factors of the number 4,128,352?

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 4,128,352

4,128,352
Factor Arrows
22,064,176
Factor Arrows
21,032,088
Factor Arrows
2516,044
Factor Arrows
2258,022
Factor Arrows
2129,011

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, 129011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 129,011 = 4,128,352

This can also be written as 25 x 129,0111 = 4,128,352

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


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