Q: What are the prime factors of the number 529,880?

 A: 2, 5, 13, 1019

Why are those the prime factors of the number 529,880?

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 529,880

529,880
Factor Arrows
2264,940
Factor Arrows
2132,470
Factor Arrows
266,235
Factor Arrows
513,247
Factor Arrows
131,019

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, 1019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 1,019 = 529,880

This can also be written as 23 x 51 x 131 x 1,0191 = 529,880

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


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