Q: What are the prime factors of the number 13,801,450?

 A: 2, 5, 13, 17, 1249

Why are those the prime factors of the number 13,801,450?

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 13,801,450

13,801,450
Factor Arrows
26,900,725
Factor Arrows
51,380,145
Factor Arrows
5276,029
Factor Arrows
1321,233
Factor Arrows
171,249

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, 13, 17, 1249

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 17 x 1,249 = 13,801,450

This can also be written as 21 x 52 x 131 x 171 x 1,2491 = 13,801,450

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


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