Q: What are the factor combinations of the number 167,763,427?

 A:
Positive:   1 x 16776342713 x 12904879169 x 992683197 x 8515912561 x 655075039 x 33293
Negative: -1 x -167763427-13 x -12904879-169 x -992683-197 x -851591-2561 x -65507-5039 x -33293


How do I find the factor combinations of the number 167,763,427?

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 167,763,427, 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.

1 167,763,427
-1 -167,763,427

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 167,763,427.

Example:
1 x 167,763,427 = 167,763,427
and
-1 x -167,763,427 = 167,763,427
Notice both answers equal 167,763,427

With that explanation out of the way, let's continue. Next, we take the number 167,763,427 and divide it by 2:

167,763,427 ÷ 2 = 83,881,713.5

If the quotient is a whole number, then 2 and 83,881,713.5 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:

1 167,763,427
-1 -167,763,427

Now, we try dividing 167,763,427 by 3:

167,763,427 ÷ 3 = 55,921,142.3333

If the quotient is a whole number, then 3 and 55,921,142.3333 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:

1 167,763,427
-1 -167,763,427

Let's try dividing by 4:

167,763,427 ÷ 4 = 41,940,856.75

If the quotient is a whole number, then 4 and 41,940,856.75 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:

1 167,763,427
-1 167,763,427
Keep dividing by the next highest number until you cannot divide anymore.

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

1131691972,5615,03933,29365,507851,591992,68312,904,879167,763,427
-1-13-169-197-2,561-5,039-33,293-65,507-851,591-992,683-12,904,879-167,763,427

More Examples

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