Q: What are the prime factors of the number 11,276,880?

 A: 2, 3, 5, 19, 2473

Why are those the prime factors of the number 11,276,880?

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 11,276,880

11,276,880
Factor Arrows
25,638,440
Factor Arrows
22,819,220
Factor Arrows
21,409,610
Factor Arrows
2704,805
Factor Arrows
3234,935
Factor Arrows
546,987
Factor Arrows
192,473

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, 19, 2473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 19 x 2,473 = 11,276,880

This can also be written as 24 x 31 x 51 x 191 x 2,4731 = 11,276,880

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


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