Q: What are the prime factors of the number 880,360?

 A: 2, 5, 13, 1693

Why are those the prime factors of the number 880,360?

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 880,360

880,360
Factor Arrows
2440,180
Factor Arrows
2220,090
Factor Arrows
2110,045
Factor Arrows
522,009
Factor Arrows
131,693

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, 5, 13, 1693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 1,693 = 880,360

This can also be written as 23 x 51 x 131 x 1,6931 = 880,360

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


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