Q: What are the prime factors of the number 4,160,896?

 A: 2, 32507

Why are those the prime factors of the number 4,160,896?

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 4,160,896

4,160,896
Factor Arrows
22,080,448
Factor Arrows
21,040,224
Factor Arrows
2520,112
Factor Arrows
2260,056
Factor Arrows
2130,028
Factor Arrows
265,014
Factor Arrows
232,507

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, 32507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 32,507 = 4,160,896

This can also be written as 27 x 32,5071 = 4,160,896

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


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