Q: What are the prime factors of the number 40,043,198?

 A: 2, 13, 118471

Why are those the prime factors of the number 40,043,198?

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 40,043,198

40,043,198
Factor Arrows
220,021,599
Factor Arrows
131,540,123
Factor Arrows
13118,471

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, 13, 118471

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 118,471 = 40,043,198

This can also be written as 21 x 132 x 118,4711 = 40,043,198

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


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