Q: What are the prime factors of the number 13,353,263?

 A: 7, 11, 37, 43, 109

Why are those the prime factors of the number 13,353,263?

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 13,353,263

13,353,263
Factor Arrows
71,907,609
Factor Arrows
11173,419
Factor Arrows
374,687
Factor Arrows
43109

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:

7, 11, 37, 43, 109

We can check our work by multiplying all of the prime factors together: 7 x 11 x 37 x 43 x 109 = 13,353,263

This can also be written as 71 x 111 x 371 x 431 x 1091 = 13,353,263

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


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