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Finding Factors of 136: A Step-by-Step Guide with Examples

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To find the factors of 136, we need to determine all of the whole numbers that divide evenly into 136 without leaving a remainder.

One way to find the factors of 136 is to divide it by all of the whole numbers from 1 to 136, and see which ones give an integer result. However, this can be a time-consuming process for larger numbers.

Prime factorization is a faster way to find the factors of 136. To begin, we can look for the prime factors of 136, which are prime numbers that can be multiplied together to give 136. We can use the factor tree method to accomplish this:

``` 136 / \ 2 68 / \ 2 34 / \ 2 17 ```

The prime factors of 136 are 2, 2, 2, and 17. To find all of the factors of 136, we can then combine these prime factors in different ways.

One way to do this is to list all of the possible combinations of prime factors, including 1 and the number itself:

1 x 136 = 136 2 x 68 = 136 4 x 34 = 136 8 x 17 = 136 2 x 2 x 34 = 136 2 x 17 x 2 = 136 4 x 2 x 17 = 136 2 x 2 x 2 x 17 = 136

Therefore, the factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.

Note that these factors are all whole numbers that divide evenly into 136 without leaving a remainder. For example, 17 is a factor of 136 because 136 ÷ 17 = 8 with no remainder.

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