Q: What are the prime factors of the number 4,640,532?

 A: 2, 3, 13, 151, 197

Why are those the prime factors of the number 4,640,532?

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 4,640,532

4,640,532
Factor Arrows
22,320,266
Factor Arrows
21,160,133
Factor Arrows
3386,711
Factor Arrows
1329,747
Factor Arrows
151197

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, 13, 151, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 151 x 197 = 4,640,532

This can also be written as 22 x 31 x 131 x 1511 x 1971 = 4,640,532

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


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