Q: What are the prime factors of the number 973,364?

 A: 2, 7, 34763

Why are those the prime factors of the number 973,364?

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 973,364

973,364
Factor Arrows
2486,682
Factor Arrows
2243,341
Factor Arrows
734,763

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, 7, 34763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 34,763 = 973,364

This can also be written as 22 x 71 x 34,7631 = 973,364

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


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