Q: What are the prime factors of the number 1,151,348?

 A: 2, 11, 137, 191

Why are those the prime factors of the number 1,151,348?

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 1,151,348

1,151,348
Factor Arrows
2575,674
Factor Arrows
2287,837
Factor Arrows
1126,167
Factor Arrows
137191

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, 137, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 137 x 191 = 1,151,348

This can also be written as 22 x 111 x 1371 x 1911 = 1,151,348

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


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