Q: What are the prime factors of the number 32,127,424?

 A: 2, 7, 71713

Why are those the prime factors of the number 32,127,424?

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 32,127,424

32,127,424
Factor Arrows
216,063,712
Factor Arrows
28,031,856
Factor Arrows
24,015,928
Factor Arrows
22,007,964
Factor Arrows
21,003,982
Factor Arrows
2501,991
Factor Arrows
771,713

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, 7, 71713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 71,713 = 32,127,424

This can also be written as 26 x 71 x 71,7131 = 32,127,424

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


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