Q: What are the prime factors of the number 13,334,802?

 A: 2, 3, 13, 23, 7433

Why are those the prime factors of the number 13,334,802?

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 13,334,802

13,334,802
Factor Arrows
26,667,401
Factor Arrows
32,222,467
Factor Arrows
13170,959
Factor Arrows
237,433

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, 13, 23, 7433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 23 x 7,433 = 13,334,802

This can also be written as 21 x 31 x 131 x 231 x 7,4331 = 13,334,802

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


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