Q: What are the prime factors of the number 1,145,984?

 A: 2, 7, 1279

Why are those the prime factors of the number 1,145,984?

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 1,145,984

1,145,984
Factor Arrows
2572,992
Factor Arrows
2286,496
Factor Arrows
2143,248
Factor Arrows
271,624
Factor Arrows
235,812
Factor Arrows
217,906
Factor Arrows
28,953
Factor Arrows
71,279

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, 1279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 1,279 = 1,145,984

This can also be written as 27 x 71 x 1,2791 = 1,145,984

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


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