Q: What are the prime factors of the number 1,202,064?

 A: 2, 3, 79, 317

Why are those the prime factors of the number 1,202,064?

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 1,202,064

1,202,064
Factor Arrows
2601,032
Factor Arrows
2300,516
Factor Arrows
2150,258
Factor Arrows
275,129
Factor Arrows
325,043
Factor Arrows
79317

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, 79, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 79 x 317 = 1,202,064

This can also be written as 24 x 31 x 791 x 3171 = 1,202,064

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


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