Q: What are the prime factors of the number 20,346,792?

 A: 2, 3, 523, 1621

Why are those the prime factors of the number 20,346,792?

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 20,346,792

20,346,792
Factor Arrows
210,173,396
Factor Arrows
25,086,698
Factor Arrows
22,543,349
Factor Arrows
3847,783
Factor Arrows
5231,621

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, 523, 1621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 523 x 1,621 = 20,346,792

This can also be written as 23 x 31 x 5231 x 1,6211 = 20,346,792

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


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