Q: What are the prime factors of the number 20,645,460?

 A: 2, 3, 5, 11, 10427

Why are those the prime factors of the number 20,645,460?

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 20,645,460

20,645,460
Factor Arrows
210,322,730
Factor Arrows
25,161,365
Factor Arrows
31,720,455
Factor Arrows
3573,485
Factor Arrows
5114,697
Factor Arrows
1110,427

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, 10427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 11 x 10,427 = 20,645,460

This can also be written as 22 x 32 x 51 x 111 x 10,4271 = 20,645,460

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


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