Q: What are the prime factors of the number 21,376,600?

 A: 2, 5, 7, 15269

Why are those the prime factors of the number 21,376,600?

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 21,376,600

21,376,600
Factor Arrows
210,688,300
Factor Arrows
25,344,150
Factor Arrows
22,672,075
Factor Arrows
5534,415
Factor Arrows
5106,883
Factor Arrows
715,269

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, 5, 7, 15269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 7 x 15,269 = 21,376,600

This can also be written as 23 x 52 x 71 x 15,2691 = 21,376,600

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


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