Q: What are the prime factors of the number 12,587,058?

 A: 2, 3, 11, 151, 421

Why are those the prime factors of the number 12,587,058?

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 12,587,058

12,587,058
Factor Arrows
26,293,529
Factor Arrows
32,097,843
Factor Arrows
3699,281
Factor Arrows
1163,571
Factor Arrows
151421

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, 11, 151, 421

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 151 x 421 = 12,587,058

This can also be written as 21 x 32 x 111 x 1511 x 4211 = 12,587,058

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


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