Q: What are the prime factors of the number 20,343,232?

 A: 2, 7, 13, 499

Why are those the prime factors of the number 20,343,232?

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 20,343,232

20,343,232
Factor Arrows
210,171,616
Factor Arrows
25,085,808
Factor Arrows
22,542,904
Factor Arrows
21,271,452
Factor Arrows
2635,726
Factor Arrows
2317,863
Factor Arrows
745,409
Factor Arrows
76,487
Factor Arrows
13499

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, 7, 13, 499

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 7 x 7 x 13 x 499 = 20,343,232

This can also be written as 26 x 72 x 131 x 4991 = 20,343,232

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


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