Q: What are the prime factors of the number 11,748,848?

 A: 2, 734303

Why are those the prime factors of the number 11,748,848?

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 11,748,848

11,748,848
Factor Arrows
25,874,424
Factor Arrows
22,937,212
Factor Arrows
21,468,606
Factor Arrows
2734,303

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, 734303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 734,303 = 11,748,848

This can also be written as 24 x 734,3031 = 11,748,848

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


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