Q: What are the prime factors of the number 1,063,546?

 A: 2, 11, 29, 1667

Why are those the prime factors of the number 1,063,546?

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 1,063,546

1,063,546
Factor Arrows
2531,773
Factor Arrows
1148,343
Factor Arrows
291,667

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, 11, 29, 1667

We can check our work by multiplying all of the prime factors together: 2 x 11 x 29 x 1,667 = 1,063,546

This can also be written as 21 x 111 x 291 x 1,6671 = 1,063,546

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


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