Q: What are the prime factors of the number 961,446?

 A: 2, 3, 23, 6967

Why are those the prime factors of the number 961,446?

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 961,446

961,446
Factor Arrows
2480,723
Factor Arrows
3160,241
Factor Arrows
236,967

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, 23, 6967

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 6,967 = 961,446

This can also be written as 21 x 31 x 231 x 6,9671 = 961,446

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


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