Q: What are the prime factors of the number 11,283,972?

 A: 2, 3, 7, 134333

Why are those the prime factors of the number 11,283,972?

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 11,283,972

11,283,972
Factor Arrows
25,641,986
Factor Arrows
22,820,993
Factor Arrows
3940,331
Factor Arrows
7134,333

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, 7, 134333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 134,333 = 11,283,972

This can also be written as 22 x 31 x 71 x 134,3331 = 11,283,972

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


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