Q: What are the prime factors of the number 20,501,100?

 A: 2, 3, 5, 2531

Why are those the prime factors of the number 20,501,100?

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 20,501,100

20,501,100
Factor Arrows
210,250,550
Factor Arrows
25,125,275
Factor Arrows
31,708,425
Factor Arrows
3569,475
Factor Arrows
3189,825
Factor Arrows
363,275
Factor Arrows
512,655
Factor Arrows
52,531

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, 2531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 2,531 = 20,501,100

This can also be written as 22 x 34 x 52 x 2,5311 = 20,501,100

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


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