Q: What are the prime factors of the number 20,634,066?

 A: 2, 3, 43, 53, 503

Why are those the prime factors of the number 20,634,066?

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 20,634,066

20,634,066
Factor Arrows
210,317,033
Factor Arrows
33,439,011
Factor Arrows
31,146,337
Factor Arrows
4326,659
Factor Arrows
53503

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, 43, 53, 503

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 53 x 503 = 20,634,066

This can also be written as 21 x 32 x 431 x 531 x 5031 = 20,634,066

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


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