Q: What are the prime factors of the number 1,377,536?

 A: 2, 5381

Why are those the prime factors of the number 1,377,536?

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 1,377,536

1,377,536
Factor Arrows
2688,768
Factor Arrows
2344,384
Factor Arrows
2172,192
Factor Arrows
286,096
Factor Arrows
243,048
Factor Arrows
221,524
Factor Arrows
210,762
Factor Arrows
25,381

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, 5381

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 2 x 2 x 5,381 = 1,377,536

This can also be written as 28 x 5,3811 = 1,377,536

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


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