Q: What are the prime factors of the number 124,021,341?

 A: 3, 17, 19, 14221

Why are those the prime factors of the number 124,021,341?

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 124,021,341

124,021,341
Factor Arrows
341,340,447
Factor Arrows
313,780,149
Factor Arrows
34,593,383
Factor Arrows
17270,199
Factor Arrows
1914,221

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, 17, 19, 14221

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 17 x 19 x 14,221 = 124,021,341

This can also be written as 33 x 171 x 191 x 14,2211 = 124,021,341

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


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