Q: What are the factor combinations of the number 167,177,135?

 A:
Positive:   1 x 1671771355 x 334354272081 x 8033510405 x 16067
Negative: -1 x -167177135-5 x -33435427-2081 x -80335-10405 x -16067


How do I find the factor combinations of the number 167,177,135?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 167,177,135, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 167,177,135
-1 -167,177,135

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 167,177,135.

Example:
1 x 167,177,135 = 167,177,135
and
-1 x -167,177,135 = 167,177,135
Notice both answers equal 167,177,135

With that explanation out of the way, let's continue. Next, we take the number 167,177,135 and divide it by 2:

167,177,135 ÷ 2 = 83,588,567.5

If the quotient is a whole number, then 2 and 83,588,567.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 167,177,135
-1 -167,177,135

Now, we try dividing 167,177,135 by 3:

167,177,135 ÷ 3 = 55,725,711.6667

If the quotient is a whole number, then 3 and 55,725,711.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 167,177,135
-1 -167,177,135

Let's try dividing by 4:

167,177,135 ÷ 4 = 41,794,283.75

If the quotient is a whole number, then 4 and 41,794,283.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 167,177,135
-1 167,177,135
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

152,08110,40516,06780,33533,435,427167,177,135
-1-5-2,081-10,405-16,067-80,335-33,435,427-167,177,135

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