Q: What are the prime factors of the number 3,961,856?

 A: 2, 53, 73

Why are those the prime factors of the number 3,961,856?

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 3,961,856

3,961,856
Factor Arrows
21,980,928
Factor Arrows
2990,464
Factor Arrows
2495,232
Factor Arrows
2247,616
Factor Arrows
2123,808
Factor Arrows
261,904
Factor Arrows
230,952
Factor Arrows
215,476
Factor Arrows
27,738
Factor Arrows
23,869
Factor Arrows
5373

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, 53, 73

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 2 x 2 x 2 x 53 x 73 = 3,961,856

This can also be written as 210 x 531 x 731 = 3,961,856

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


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