Q: What are the prime factors of the number 20,524,440?

 A: 2, 3, 5, 17, 10061

Why are those the prime factors of the number 20,524,440?

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 20,524,440

20,524,440
Factor Arrows
210,262,220
Factor Arrows
25,131,110
Factor Arrows
22,565,555
Factor Arrows
3855,185
Factor Arrows
5171,037
Factor Arrows
1710,061

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, 5, 17, 10061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 17 x 10,061 = 20,524,440

This can also be written as 23 x 31 x 51 x 171 x 10,0611 = 20,524,440

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


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