Q: What are the prime factors of the number 1,958,592?

 A: 2, 3, 101

Why are those the prime factors of the number 1,958,592?

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 1,958,592

1,958,592
Factor Arrows
2979,296
Factor Arrows
2489,648
Factor Arrows
2244,824
Factor Arrows
2122,412
Factor Arrows
261,206
Factor Arrows
230,603
Factor Arrows
310,201
Factor Arrows
101101

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, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 101 x 101 = 1,958,592

This can also be written as 26 x 31 x 1012 = 1,958,592

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


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