Q: What are the prime factors of the number 11,042,448?

 A: 2, 3, 31, 41, 181

Why are those the prime factors of the number 11,042,448?

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 11,042,448

11,042,448
Factor Arrows
25,521,224
Factor Arrows
22,760,612
Factor Arrows
21,380,306
Factor Arrows
2690,153
Factor Arrows
3230,051
Factor Arrows
317,421
Factor Arrows
41181

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, 31, 41, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 31 x 41 x 181 = 11,042,448

This can also be written as 24 x 31 x 311 x 411 x 1811 = 11,042,448

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


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