Q: What are the prime factors of the number 1,963,096?

 A: 2, 23, 47, 227

Why are those the prime factors of the number 1,963,096?

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 1,963,096

1,963,096
Factor Arrows
2981,548
Factor Arrows
2490,774
Factor Arrows
2245,387
Factor Arrows
2310,669
Factor Arrows
47227

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, 23, 47, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 47 x 227 = 1,963,096

This can also be written as 23 x 231 x 471 x 2271 = 1,963,096

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


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