Q: What are the prime factors of the number 11,143,460?

 A: 2, 5, 631, 883

Why are those the prime factors of the number 11,143,460?

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 11,143,460

11,143,460
Factor Arrows
25,571,730
Factor Arrows
22,785,865
Factor Arrows
5557,173
Factor Arrows
631883

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, 631, 883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 631 x 883 = 11,143,460

This can also be written as 22 x 51 x 6311 x 8831 = 11,143,460

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


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