Q: What are the factor combinations of the number 188,376,215?

 A:
Positive:   1 x 1883762155 x 37675243239 x 7881851195 x 157637
Negative: -1 x -188376215-5 x -37675243-239 x -788185-1195 x -157637


How do I find the factor combinations of the number 188,376,215?

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 188,376,215, 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.

1 188,376,215
-1 -188,376,215

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 188,376,215.

Example:
1 x 188,376,215 = 188,376,215
and
-1 x -188,376,215 = 188,376,215
Notice both answers equal 188,376,215

With that explanation out of the way, let's continue. Next, we take the number 188,376,215 and divide it by 2:

188,376,215 ÷ 2 = 94,188,107.5

If the quotient is a whole number, then 2 and 94,188,107.5 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:

1 188,376,215
-1 -188,376,215

Now, we try dividing 188,376,215 by 3:

188,376,215 ÷ 3 = 62,792,071.6667

If the quotient is a whole number, then 3 and 62,792,071.6667 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:

1 188,376,215
-1 -188,376,215

Let's try dividing by 4:

188,376,215 ÷ 4 = 47,094,053.75

If the quotient is a whole number, then 4 and 47,094,053.75 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:

1 188,376,215
-1 188,376,215
Keep dividing by the next highest number until you cannot divide anymore.

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

152391,195157,637788,18537,675,243188,376,215
-1-5-239-1,195-157,637-788,185-37,675,243-188,376,215

More Examples

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