Q: What are the prime factors of the number 13,432,400?

 A: 2, 5, 33581

Why are those the prime factors of the number 13,432,400?

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 13,432,400

13,432,400
Factor Arrows
26,716,200
Factor Arrows
23,358,100
Factor Arrows
21,679,050
Factor Arrows
2839,525
Factor Arrows
5167,905
Factor Arrows
533,581

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, 33581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 33,581 = 13,432,400

This can also be written as 24 x 52 x 33,5811 = 13,432,400

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


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