Q: What are the prime factors of the number 104,302,244?

 A: 2, 509, 51229

Why are those the prime factors of the number 104,302,244?

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 104,302,244

104,302,244
Factor Arrows
252,151,122
Factor Arrows
226,075,561
Factor Arrows
50951,229

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, 509, 51229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 509 x 51,229 = 104,302,244

This can also be written as 22 x 5091 x 51,2291 = 104,302,244

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


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