Q: What are the factor combinations of the number 163,231,541?

 A:
Positive:   1 x 16323154111 x 14839231121 x 1349021199 x 8202592189 x 745696779 x 24079
Negative: -1 x -163231541-11 x -14839231-121 x -1349021-199 x -820259-2189 x -74569-6779 x -24079


How do I find the factor combinations of the number 163,231,541?

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 163,231,541, 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.

1 163,231,541
-1 -163,231,541

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 163,231,541.

Example:
1 x 163,231,541 = 163,231,541
and
-1 x -163,231,541 = 163,231,541
Notice both answers equal 163,231,541

With that explanation out of the way, let's continue. Next, we take the number 163,231,541 and divide it by 2:

163,231,541 ÷ 2 = 81,615,770.5

If the quotient is a whole number, then 2 and 81,615,770.5 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:

1 163,231,541
-1 -163,231,541

Now, we try dividing 163,231,541 by 3:

163,231,541 ÷ 3 = 54,410,513.6667

If the quotient is a whole number, then 3 and 54,410,513.6667 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:

1 163,231,541
-1 -163,231,541

Let's try dividing by 4:

163,231,541 ÷ 4 = 40,807,885.25

If the quotient is a whole number, then 4 and 40,807,885.25 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:

1 163,231,541
-1 163,231,541
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211992,1896,77924,07974,569820,2591,349,02114,839,231163,231,541
-1-11-121-199-2,189-6,779-24,079-74,569-820,259-1,349,021-14,839,231-163,231,541

More Examples

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