Q: What are the prime factors of the number 4,886,064?

 A: 2, 3, 33931

Why are those the prime factors of the number 4,886,064?

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 4,886,064

4,886,064
Factor Arrows
22,443,032
Factor Arrows
21,221,516
Factor Arrows
2610,758
Factor Arrows
2305,379
Factor Arrows
3101,793
Factor Arrows
333,931

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, 33931

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 33,931 = 4,886,064

This can also be written as 24 x 32 x 33,9311 = 4,886,064

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


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