Q: What are the prime factors of the number 11,041,280?

 A: 2, 5, 19, 227

Why are those the prime factors of the number 11,041,280?

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 11,041,280

11,041,280
Factor Arrows
25,520,640
Factor Arrows
22,760,320
Factor Arrows
21,380,160
Factor Arrows
2690,080
Factor Arrows
2345,040
Factor Arrows
2172,520
Factor Arrows
286,260
Factor Arrows
243,130
Factor Arrows
221,565
Factor Arrows
54,313
Factor Arrows
19227

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, 19, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 227 = 11,041,280

This can also be written as 29 x 51 x 191 x 2271 = 11,041,280

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


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