Q: What are the prime factors of the number 2,423,808?

 A: 2, 3, 263

Why are those the prime factors of the number 2,423,808?

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 2,423,808

2,423,808
Factor Arrows
21,211,904
Factor Arrows
2605,952
Factor Arrows
2302,976
Factor Arrows
2151,488
Factor Arrows
275,744
Factor Arrows
237,872
Factor Arrows
218,936
Factor Arrows
29,468
Factor Arrows
24,734
Factor Arrows
22,367
Factor Arrows
3789
Factor Arrows
3263

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, 3, 263

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 3 x 3 x 263 = 2,423,808

This can also be written as 210 x 32 x 2631 = 2,423,808

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


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