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

 A: 2, 3, 5

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

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 1,200

1,200
Factor Arrows
2600
Factor Arrows
2300
Factor Arrows
2150
Factor Arrows
275
Factor Arrows
325
Factor Arrows
55

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, 3, 5

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1,200

This can also be written as 24 x 31 x 52 = 1,200

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


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