Q: What are the prime factors of the number 20,741,058?

 A: 2, 3, 13, 151, 587

Why are those the prime factors of the number 20,741,058?

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 20,741,058

20,741,058
Factor Arrows
210,370,529
Factor Arrows
33,456,843
Factor Arrows
31,152,281
Factor Arrows
1388,637
Factor Arrows
151587

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, 3, 13, 151, 587

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 151 x 587 = 20,741,058

This can also be written as 21 x 32 x 131 x 1511 x 5871 = 20,741,058

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


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