Q: What are the prime factors of the number 841,596?

 A: 2, 3, 7, 43, 233

Why are those the prime factors of the number 841,596?

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 841,596

841,596
Factor Arrows
2420,798
Factor Arrows
2210,399
Factor Arrows
370,133
Factor Arrows
710,019
Factor Arrows
43233

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, 3, 7, 43, 233

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 43 x 233 = 841,596

This can also be written as 22 x 31 x 71 x 431 x 2331 = 841,596

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


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