Q: What are the prime factors of the number 3,318,952?

 A: 2, 7, 13, 47, 97

Why are those the prime factors of the number 3,318,952?

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 3,318,952

3,318,952
Factor Arrows
21,659,476
Factor Arrows
2829,738
Factor Arrows
2414,869
Factor Arrows
759,267
Factor Arrows
134,559
Factor Arrows
4797

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, 13, 47, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 13 x 47 x 97 = 3,318,952

This can also be written as 23 x 71 x 131 x 471 x 971 = 3,318,952

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


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