Q: What are the prime factors of the number 11,411,376?

 A: 2, 3, 237737

Why are those the prime factors of the number 11,411,376?

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 11,411,376

11,411,376
Factor Arrows
25,705,688
Factor Arrows
22,852,844
Factor Arrows
21,426,422
Factor Arrows
2713,211
Factor Arrows
3237,737

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, 237737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 237,737 = 11,411,376

This can also be written as 24 x 31 x 237,7371 = 11,411,376

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


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