Q: What are the prime factors of the number 900,200?

 A: 2, 5, 7, 643

Why are those the prime factors of the number 900,200?

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 900,200

900,200
Factor Arrows
2450,100
Factor Arrows
2225,050
Factor Arrows
2112,525
Factor Arrows
522,505
Factor Arrows
54,501
Factor Arrows
7643

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, 7, 643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 7 x 643 = 900,200

This can also be written as 23 x 52 x 71 x 6431 = 900,200

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


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