Q: What are the prime factors of the number 32,031,488?

 A: 2, 211, 593

Why are those the prime factors of the number 32,031,488?

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 32,031,488

32,031,488
Factor Arrows
216,015,744
Factor Arrows
28,007,872
Factor Arrows
24,003,936
Factor Arrows
22,001,968
Factor Arrows
21,000,984
Factor Arrows
2500,492
Factor Arrows
2250,246
Factor Arrows
2125,123
Factor Arrows
211593

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, 211, 593

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 2 x 2 x 211 x 593 = 32,031,488

This can also be written as 28 x 2111 x 5931 = 32,031,488

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


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