Q: What are the prime factors of the number 12,043,335?

 A: 3, 5, 673, 1193

Why are those the prime factors of the number 12,043,335?

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 12,043,335

12,043,335
Factor Arrows
34,014,445
Factor Arrows
5802,889
Factor Arrows
6731,193

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:

3, 5, 673, 1193

We can check our work by multiplying all of the prime factors together: 3 x 5 x 673 x 1,193 = 12,043,335

This can also be written as 31 x 51 x 6731 x 1,1931 = 12,043,335

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


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