Q: What are the prime factors of the number 12,981,400?

 A: 2, 5, 47, 1381

Why are those the prime factors of the number 12,981,400?

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 12,981,400

12,981,400
Factor Arrows
26,490,700
Factor Arrows
23,245,350
Factor Arrows
21,622,675
Factor Arrows
5324,535
Factor Arrows
564,907
Factor Arrows
471,381

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, 47, 1381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 47 x 1,381 = 12,981,400

This can also be written as 23 x 52 x 471 x 1,3811 = 12,981,400

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


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