Q: What are the prime factors of the number 20,506,064?

 A: 2, 23, 103, 541

Why are those the prime factors of the number 20,506,064?

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 20,506,064

20,506,064
Factor Arrows
210,253,032
Factor Arrows
25,126,516
Factor Arrows
22,563,258
Factor Arrows
21,281,629
Factor Arrows
2355,723
Factor Arrows
103541

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, 23, 103, 541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 103 x 541 = 20,506,064

This can also be written as 24 x 231 x 1031 x 5411 = 20,506,064

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


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