Q: What are the prime factors of the number 32,707,848?

 A: 2, 3, 109, 12503

Why are those the prime factors of the number 32,707,848?

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 32,707,848

32,707,848
Factor Arrows
216,353,924
Factor Arrows
28,176,962
Factor Arrows
24,088,481
Factor Arrows
31,362,827
Factor Arrows
10912,503

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, 109, 12503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 109 x 12,503 = 32,707,848

This can also be written as 23 x 31 x 1091 x 12,5031 = 32,707,848

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


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