Q: What are the prime factors of the number 1,632,736?

 A: 2, 7, 37, 197

Why are those the prime factors of the number 1,632,736?

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 1,632,736

1,632,736
Factor Arrows
2816,368
Factor Arrows
2408,184
Factor Arrows
2204,092
Factor Arrows
2102,046
Factor Arrows
251,023
Factor Arrows
77,289
Factor Arrows
37197

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, 37, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 37 x 197 = 1,632,736

This can also be written as 25 x 71 x 371 x 1971 = 1,632,736

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


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