Q: What are the prime factors of the number 12,530,848?

 A: 2, 11, 97, 367

Why are those the prime factors of the number 12,530,848?

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 12,530,848

12,530,848
Factor Arrows
26,265,424
Factor Arrows
23,132,712
Factor Arrows
21,566,356
Factor Arrows
2783,178
Factor Arrows
2391,589
Factor Arrows
1135,599
Factor Arrows
97367

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, 11, 97, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 97 x 367 = 12,530,848

This can also be written as 25 x 111 x 971 x 3671 = 12,530,848

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


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