Q: What are the factor combinations of the number 163,456,633?

 A:
Positive:   1 x 163456633139 x 1175947389 x 4201973023 x 54071
Negative: -1 x -163456633-139 x -1175947-389 x -420197-3023 x -54071


How do I find the factor combinations of the number 163,456,633?

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 163,456,633, 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.

1 163,456,633
-1 -163,456,633

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 163,456,633.

Example:
1 x 163,456,633 = 163,456,633
and
-1 x -163,456,633 = 163,456,633
Notice both answers equal 163,456,633

With that explanation out of the way, let's continue. Next, we take the number 163,456,633 and divide it by 2:

163,456,633 ÷ 2 = 81,728,316.5

If the quotient is a whole number, then 2 and 81,728,316.5 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:

1 163,456,633
-1 -163,456,633

Now, we try dividing 163,456,633 by 3:

163,456,633 ÷ 3 = 54,485,544.3333

If the quotient is a whole number, then 3 and 54,485,544.3333 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:

1 163,456,633
-1 -163,456,633

Let's try dividing by 4:

163,456,633 ÷ 4 = 40,864,158.25

If the quotient is a whole number, then 4 and 40,864,158.25 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:

1 163,456,633
-1 163,456,633
Keep dividing by the next highest number until you cannot divide anymore.

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

11393893,02354,071420,1971,175,947163,456,633
-1-139-389-3,023-54,071-420,197-1,175,947-163,456,633

More Examples

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