Q: What are the prime factors of the number 956,600?

 A: 2, 5, 4783

Why are those the prime factors of the number 956,600?

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 956,600

956,600
Factor Arrows
2478,300
Factor Arrows
2239,150
Factor Arrows
2119,575
Factor Arrows
523,915
Factor Arrows
54,783

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, 4783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 4,783 = 956,600

This can also be written as 23 x 52 x 4,7831 = 956,600

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


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