Q: What are the prime factors of the number 31,499,196?

 A: 2, 3, 79, 149, 223

Why are those the prime factors of the number 31,499,196?

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 31,499,196

31,499,196
Factor Arrows
215,749,598
Factor Arrows
27,874,799
Factor Arrows
32,624,933
Factor Arrows
7933,227
Factor Arrows
149223

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, 79, 149, 223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 79 x 149 x 223 = 31,499,196

This can also be written as 22 x 31 x 791 x 1491 x 2231 = 31,499,196

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


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