Q: What are the prime factors of the number 20,423,403?

 A: 3, 7, 11, 13, 2267

Why are those the prime factors of the number 20,423,403?

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 20,423,403

20,423,403
Factor Arrows
36,807,801
Factor Arrows
32,269,267
Factor Arrows
7324,181
Factor Arrows
1129,471
Factor Arrows
132,267

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:

3, 7, 11, 13, 2267

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 13 x 2,267 = 20,423,403

This can also be written as 32 x 71 x 111 x 131 x 2,2671 = 20,423,403

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


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