Q: What are the prime factors of the number 8,602,488?

 A: 2, 3, 163, 733

Why are those the prime factors of the number 8,602,488?

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 8,602,488

8,602,488
Factor Arrows
24,301,244
Factor Arrows
22,150,622
Factor Arrows
21,075,311
Factor Arrows
3358,437
Factor Arrows
3119,479
Factor Arrows
163733

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, 163, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 163 x 733 = 8,602,488

This can also be written as 23 x 32 x 1631 x 7331 = 8,602,488

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


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