Q: What are the prime factors of the number 11,615,418?

 A: 2, 3, 43, 349

Why are those the prime factors of the number 11,615,418?

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 11,615,418

11,615,418
Factor Arrows
25,807,709
Factor Arrows
31,935,903
Factor Arrows
3645,301
Factor Arrows
4315,007
Factor Arrows
43349

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, 43, 349

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 43 x 349 = 11,615,418

This can also be written as 21 x 32 x 432 x 3491 = 11,615,418

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


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