Q: What are the factor combinations of the number 163,244,215?

 A:
Positive:   1 x 1632442155 x 32648843727 x 2245453635 x 44909
Negative: -1 x -163244215-5 x -32648843-727 x -224545-3635 x -44909


How do I find the factor combinations of the number 163,244,215?

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 163,244,215, 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.

1 163,244,215
-1 -163,244,215

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 163,244,215.

Example:
1 x 163,244,215 = 163,244,215
and
-1 x -163,244,215 = 163,244,215
Notice both answers equal 163,244,215

With that explanation out of the way, let's continue. Next, we take the number 163,244,215 and divide it by 2:

163,244,215 ÷ 2 = 81,622,107.5

If the quotient is a whole number, then 2 and 81,622,107.5 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:

1 163,244,215
-1 -163,244,215

Now, we try dividing 163,244,215 by 3:

163,244,215 ÷ 3 = 54,414,738.3333

If the quotient is a whole number, then 3 and 54,414,738.3333 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:

1 163,244,215
-1 -163,244,215

Let's try dividing by 4:

163,244,215 ÷ 4 = 40,811,053.75

If the quotient is a whole number, then 4 and 40,811,053.75 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:

1 163,244,215
-1 163,244,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157273,63544,909224,54532,648,843163,244,215
-1-5-727-3,635-44,909-224,545-32,648,843-163,244,215

More Examples

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