Q: What are the prime factors of the number 31,499,200?

 A: 2, 5, 19687

Why are those the prime factors of the number 31,499,200?

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 31,499,200

31,499,200
Factor Arrows
215,749,600
Factor Arrows
27,874,800
Factor Arrows
23,937,400
Factor Arrows
21,968,700
Factor Arrows
2984,350
Factor Arrows
2492,175
Factor Arrows
598,435
Factor Arrows
519,687

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, 19687

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 5 x 5 x 19,687 = 31,499,200

This can also be written as 26 x 52 x 19,6871 = 31,499,200

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


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