Q: What are the prime factors of the number 1,180,496?

 A: 2, 89, 829

Why are those the prime factors of the number 1,180,496?

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 1,180,496

1,180,496
Factor Arrows
2590,248
Factor Arrows
2295,124
Factor Arrows
2147,562
Factor Arrows
273,781
Factor Arrows
89829

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, 89, 829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 89 x 829 = 1,180,496

This can also be written as 24 x 891 x 8291 = 1,180,496

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


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