Q: What are the prime factors of the number 1,369,408?

 A: 2, 21397

Why are those the prime factors of the number 1,369,408?

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 1,369,408

1,369,408
Factor Arrows
2684,704
Factor Arrows
2342,352
Factor Arrows
2171,176
Factor Arrows
285,588
Factor Arrows
242,794
Factor Arrows
221,397

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, 21397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 21,397 = 1,369,408

This can also be written as 26 x 21,3971 = 1,369,408

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


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