Q: What are the prime factors of the number 11,271,276?

 A: 2, 3, 67, 4673

Why are those the prime factors of the number 11,271,276?

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 11,271,276

11,271,276
Factor Arrows
25,635,638
Factor Arrows
22,817,819
Factor Arrows
3939,273
Factor Arrows
3313,091
Factor Arrows
674,673

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, 67, 4673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 67 x 4,673 = 11,271,276

This can also be written as 22 x 32 x 671 x 4,6731 = 11,271,276

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


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