Q: What are the prime factors of the number 883,880?

 A: 2, 5, 19, 1163

Why are those the prime factors of the number 883,880?

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 883,880

883,880
Factor Arrows
2441,940
Factor Arrows
2220,970
Factor Arrows
2110,485
Factor Arrows
522,097
Factor Arrows
191,163

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, 19, 1163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 1,163 = 883,880

This can also be written as 23 x 51 x 191 x 1,1631 = 883,880

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


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