Q: What are the prime factors of the number 1,063,476?

 A: 2, 3, 43, 229

Why are those the prime factors of the number 1,063,476?

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 1,063,476

1,063,476
Factor Arrows
2531,738
Factor Arrows
2265,869
Factor Arrows
388,623
Factor Arrows
329,541
Factor Arrows
39,847
Factor Arrows
43229

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, 43, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 43 x 229 = 1,063,476

This can also be written as 22 x 33 x 431 x 2291 = 1,063,476

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


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