Q: What are the factor combinations of the number 167,978,155?

 A:
Positive:   1 x 1679781555 x 3359563189 x 1887395211 x 796105445 x 3774791055 x 1592211789 x 938958945 x 18779
Negative: -1 x -167978155-5 x -33595631-89 x -1887395-211 x -796105-445 x -377479-1055 x -159221-1789 x -93895-8945 x -18779


How do I find the factor combinations of the number 167,978,155?

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 167,978,155, 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.

1 167,978,155
-1 -167,978,155

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 167,978,155.

Example:
1 x 167,978,155 = 167,978,155
and
-1 x -167,978,155 = 167,978,155
Notice both answers equal 167,978,155

With that explanation out of the way, let's continue. Next, we take the number 167,978,155 and divide it by 2:

167,978,155 ÷ 2 = 83,989,077.5

If the quotient is a whole number, then 2 and 83,989,077.5 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:

1 167,978,155
-1 -167,978,155

Now, we try dividing 167,978,155 by 3:

167,978,155 ÷ 3 = 55,992,718.3333

If the quotient is a whole number, then 3 and 55,992,718.3333 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:

1 167,978,155
-1 -167,978,155

Let's try dividing by 4:

167,978,155 ÷ 4 = 41,994,538.75

If the quotient is a whole number, then 4 and 41,994,538.75 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:

1 167,978,155
-1 167,978,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15892114451,0551,7898,94518,77993,895159,221377,479796,1051,887,39533,595,631167,978,155
-1-5-89-211-445-1,055-1,789-8,945-18,779-93,895-159,221-377,479-796,105-1,887,395-33,595,631-167,978,155

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