Q: What are the prime factors of the number 11,280,150?

 A: 2, 3, 5, 7, 3581

Why are those the prime factors of the number 11,280,150?

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 11,280,150

11,280,150
Factor Arrows
25,640,075
Factor Arrows
31,880,025
Factor Arrows
3626,675
Factor Arrows
5125,335
Factor Arrows
525,067
Factor Arrows
73,581

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, 5, 7, 3581

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 7 x 3,581 = 11,280,150

This can also be written as 21 x 32 x 52 x 71 x 3,5811 = 11,280,150

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


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