Q: What are the prime factors of the number 20,526,000?

 A: 2, 3, 5, 11, 311

Why are those the prime factors of the number 20,526,000?

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 20,526,000

20,526,000
Factor Arrows
210,263,000
Factor Arrows
25,131,500
Factor Arrows
22,565,750
Factor Arrows
21,282,875
Factor Arrows
3427,625
Factor Arrows
585,525
Factor Arrows
517,105
Factor Arrows
53,421
Factor Arrows
11311

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, 11, 311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 x 311 = 20,526,000

This can also be written as 24 x 31 x 53 x 111 x 3111 = 20,526,000

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


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