Q: What are the factor combinations of the number 23,163,877?

 A:
Positive:   1 x 2316387711 x 210580717 x 1362581121 x 191437187 x 1238712057 x 11261
Negative: -1 x -23163877-11 x -2105807-17 x -1362581-121 x -191437-187 x -123871-2057 x -11261


How do I find the factor combinations of the number 23,163,877?

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 23,163,877, 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 23,163,877
-1 -23,163,877

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 23,163,877.

Example:
1 x 23,163,877 = 23,163,877
and
-1 x -23,163,877 = 23,163,877
Notice both answers equal 23,163,877

With that explanation out of the way, let's continue. Next, we take the number 23,163,877 and divide it by 2:

23,163,877 ÷ 2 = 11,581,938.5

If the quotient is a whole number, then 2 and 11,581,938.5 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 23,163,877
-1 -23,163,877

Now, we try dividing 23,163,877 by 3:

23,163,877 ÷ 3 = 7,721,292.3333

If the quotient is a whole number, then 3 and 7,721,292.3333 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 23,163,877
-1 -23,163,877

Let's try dividing by 4:

23,163,877 ÷ 4 = 5,790,969.25

If the quotient is a whole number, then 4 and 5,790,969.25 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 23,163,877
-1 23,163,877
Keep dividing by the next highest number until you cannot divide anymore.

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

111171211872,05711,261123,871191,4371,362,5812,105,80723,163,877
-1-11-17-121-187-2,057-11,261-123,871-191,437-1,362,581-2,105,807-23,163,877

More Examples

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