Q: What are the factor combinations of the number 167,177,131?

 A:
Positive:   1 x 16717713111 x 1519792141 x 4077491451 x 3706811681 x 994519041 x 18491
Negative: -1 x -167177131-11 x -15197921-41 x -4077491-451 x -370681-1681 x -99451-9041 x -18491


How do I find the factor combinations of the number 167,177,131?

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 167,177,131, 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.

1 167,177,131
-1 -167,177,131

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 167,177,131.

Example:
1 x 167,177,131 = 167,177,131
and
-1 x -167,177,131 = 167,177,131
Notice both answers equal 167,177,131

With that explanation out of the way, let's continue. Next, we take the number 167,177,131 and divide it by 2:

167,177,131 ÷ 2 = 83,588,565.5

If the quotient is a whole number, then 2 and 83,588,565.5 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:

1 167,177,131
-1 -167,177,131

Now, we try dividing 167,177,131 by 3:

167,177,131 ÷ 3 = 55,725,710.3333

If the quotient is a whole number, then 3 and 55,725,710.3333 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:

1 167,177,131
-1 -167,177,131

Let's try dividing by 4:

167,177,131 ÷ 4 = 41,794,282.75

If the quotient is a whole number, then 4 and 41,794,282.75 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:

1 167,177,131
-1 167,177,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111414511,6819,04118,49199,451370,6814,077,49115,197,921167,177,131
-1-11-41-451-1,681-9,041-18,491-99,451-370,681-4,077,491-15,197,921-167,177,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 167,177,131:


Ask a Question