Q: What are the prime factors of the number 20,100,432?

 A: 2, 3, 11, 38069

Why are those the prime factors of the number 20,100,432?

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 20,100,432

20,100,432
Factor Arrows
210,050,216
Factor Arrows
25,025,108
Factor Arrows
22,512,554
Factor Arrows
21,256,277
Factor Arrows
3418,759
Factor Arrows
1138,069

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, 11, 38069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 38,069 = 20,100,432

This can also be written as 24 x 31 x 111 x 38,0691 = 20,100,432

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


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