Q: What are the prime factors of the number 1,239,200?

 A: 2, 5, 1549

Why are those the prime factors of the number 1,239,200?

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 1,239,200

1,239,200
Factor Arrows
2619,600
Factor Arrows
2309,800
Factor Arrows
2154,900
Factor Arrows
277,450
Factor Arrows
238,725
Factor Arrows
57,745
Factor Arrows
51,549

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, 1549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 1,549 = 1,239,200

This can also be written as 25 x 52 x 1,5491 = 1,239,200

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


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