Q: What are the prime factors of the number 20,332,452?

 A: 2, 3, 7, 151, 229

Why are those the prime factors of the number 20,332,452?

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 20,332,452

20,332,452
Factor Arrows
210,166,226
Factor Arrows
25,083,113
Factor Arrows
31,694,371
Factor Arrows
7242,053
Factor Arrows
734,579
Factor Arrows
151229

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, 7, 151, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 151 x 229 = 20,332,452

This can also be written as 22 x 31 x 72 x 1511 x 2291 = 20,332,452

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


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