Q: What are the prime factors of the number 40,062,849?

 A: 3, 19, 23, 30559

Why are those the prime factors of the number 40,062,849?

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 40,062,849

40,062,849
Factor Arrows
313,354,283
Factor Arrows
19702,857
Factor Arrows
2330,559

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, 19, 23, 30559

We can check our work by multiplying all of the prime factors together: 3 x 19 x 23 x 30,559 = 40,062,849

This can also be written as 31 x 191 x 231 x 30,5591 = 40,062,849

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


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