Q: What are the factor combinations of the number 187,481,321?

 A:
Positive:   1 x 18748132117 x 11028313103 x 18202071751 x 107071
Negative: -1 x -187481321-17 x -11028313-103 x -1820207-1751 x -107071


How do I find the factor combinations of the number 187,481,321?

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 187,481,321, 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.

1 187,481,321
-1 -187,481,321

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 187,481,321.

Example:
1 x 187,481,321 = 187,481,321
and
-1 x -187,481,321 = 187,481,321
Notice both answers equal 187,481,321

With that explanation out of the way, let's continue. Next, we take the number 187,481,321 and divide it by 2:

187,481,321 ÷ 2 = 93,740,660.5

If the quotient is a whole number, then 2 and 93,740,660.5 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:

1 187,481,321
-1 -187,481,321

Now, we try dividing 187,481,321 by 3:

187,481,321 ÷ 3 = 62,493,773.6667

If the quotient is a whole number, then 3 and 62,493,773.6667 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:

1 187,481,321
-1 -187,481,321

Let's try dividing by 4:

187,481,321 ÷ 4 = 46,870,330.25

If the quotient is a whole number, then 4 and 46,870,330.25 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:

1 187,481,321
-1 187,481,321
Keep dividing by the next highest number until you cannot divide anymore.

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

1171031,751107,0711,820,20711,028,313187,481,321
-1-17-103-1,751-107,071-1,820,207-11,028,313-187,481,321

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 187,481,321:


Ask a Question