Q: What are the prime factors of the number 20,461,800?

 A: 2, 3, 5, 67, 509

Why are those the prime factors of the number 20,461,800?

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 20,461,800

20,461,800
Factor Arrows
210,230,900
Factor Arrows
25,115,450
Factor Arrows
22,557,725
Factor Arrows
3852,575
Factor Arrows
5170,515
Factor Arrows
534,103
Factor Arrows
67509

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, 67, 509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 67 x 509 = 20,461,800

This can also be written as 23 x 31 x 52 x 671 x 5091 = 20,461,800

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


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