Q: What are the prime factors of the number 32,052,340?

 A: 2, 5, 23, 59, 1181

Why are those the prime factors of the number 32,052,340?

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 32,052,340

32,052,340
Factor Arrows
216,026,170
Factor Arrows
28,013,085
Factor Arrows
51,602,617
Factor Arrows
2369,679
Factor Arrows
591,181

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, 5, 23, 59, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 23 x 59 x 1,181 = 32,052,340

This can also be written as 22 x 51 x 231 x 591 x 1,1811 = 32,052,340

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


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