Q: What are the factor combinations of the number 187,313,635?

 A:
Positive:   1 x 1873136355 x 37462727241 x 777235359 x 521765433 x 4325951205 x 1554471795 x 1043532165 x 86519
Negative: -1 x -187313635-5 x -37462727-241 x -777235-359 x -521765-433 x -432595-1205 x -155447-1795 x -104353-2165 x -86519


How do I find the factor combinations of the number 187,313,635?

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 187,313,635, 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.

1 187,313,635
-1 -187,313,635

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 187,313,635.

Example:
1 x 187,313,635 = 187,313,635
and
-1 x -187,313,635 = 187,313,635
Notice both answers equal 187,313,635

With that explanation out of the way, let's continue. Next, we take the number 187,313,635 and divide it by 2:

187,313,635 ÷ 2 = 93,656,817.5

If the quotient is a whole number, then 2 and 93,656,817.5 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:

1 187,313,635
-1 -187,313,635

Now, we try dividing 187,313,635 by 3:

187,313,635 ÷ 3 = 62,437,878.3333

If the quotient is a whole number, then 3 and 62,437,878.3333 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:

1 187,313,635
-1 -187,313,635

Let's try dividing by 4:

187,313,635 ÷ 4 = 46,828,408.75

If the quotient is a whole number, then 4 and 46,828,408.75 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:

1 187,313,635
-1 187,313,635
Keep dividing by the next highest number until you cannot divide anymore.

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

152413594331,2051,7952,16586,519104,353155,447432,595521,765777,23537,462,727187,313,635
-1-5-241-359-433-1,205-1,795-2,165-86,519-104,353-155,447-432,595-521,765-777,235-37,462,727-187,313,635

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 187,313,635:


Ask a Question