Q: What are the prime factors of the number 4,326,944?

 A: 2, 23, 5879

Why are those the prime factors of the number 4,326,944?

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 4,326,944

4,326,944
Factor Arrows
22,163,472
Factor Arrows
21,081,736
Factor Arrows
2540,868
Factor Arrows
2270,434
Factor Arrows
2135,217
Factor Arrows
235,879

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, 23, 5879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 23 x 5,879 = 4,326,944

This can also be written as 25 x 231 x 5,8791 = 4,326,944

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


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