Q: What are the prime factors of the number 20,506,041?

 A: 3, 23, 1223

Why are those the prime factors of the number 20,506,041?

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 20,506,041

20,506,041
Factor Arrows
36,835,347
Factor Arrows
32,278,449
Factor Arrows
3759,483
Factor Arrows
3253,161
Factor Arrows
384,387
Factor Arrows
328,129
Factor Arrows
231,223

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, 23, 1223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 23 x 1,223 = 20,506,041

This can also be written as 36 x 231 x 1,2231 = 20,506,041

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


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