Q: What are the prime factors of the number 1,555,136?

 A: 2, 11, 47

Why are those the prime factors of the number 1,555,136?

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 1,555,136

1,555,136
Factor Arrows
2777,568
Factor Arrows
2388,784
Factor Arrows
2194,392
Factor Arrows
297,196
Factor Arrows
248,598
Factor Arrows
224,299
Factor Arrows
112,209
Factor Arrows
4747

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, 11, 47

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 11 x 47 x 47 = 1,555,136

This can also be written as 26 x 111 x 472 = 1,555,136

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


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