Q: What are the factor combinations of the number 121,232,315?

 A:
Positive:   1 x 1212323155 x 2424646359 x 205478561 x 1987415295 x 410957305 x 3974833599 x 336856737 x 17995
Negative: -1 x -121232315-5 x -24246463-59 x -2054785-61 x -1987415-295 x -410957-305 x -397483-3599 x -33685-6737 x -17995


How do I find the factor combinations of the number 121,232,315?

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 121,232,315, 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.

1 121,232,315
-1 -121,232,315

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 121,232,315.

Example:
1 x 121,232,315 = 121,232,315
and
-1 x -121,232,315 = 121,232,315
Notice both answers equal 121,232,315

With that explanation out of the way, let's continue. Next, we take the number 121,232,315 and divide it by 2:

121,232,315 ÷ 2 = 60,616,157.5

If the quotient is a whole number, then 2 and 60,616,157.5 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:

1 121,232,315
-1 -121,232,315

Now, we try dividing 121,232,315 by 3:

121,232,315 ÷ 3 = 40,410,771.6667

If the quotient is a whole number, then 3 and 40,410,771.6667 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:

1 121,232,315
-1 -121,232,315

Let's try dividing by 4:

121,232,315 ÷ 4 = 30,308,078.75

If the quotient is a whole number, then 4 and 30,308,078.75 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:

1 121,232,315
-1 121,232,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1559612953053,5996,73717,99533,685397,483410,9571,987,4152,054,78524,246,463121,232,315
-1-5-59-61-295-305-3,599-6,737-17,995-33,685-397,483-410,957-1,987,415-2,054,785-24,246,463-121,232,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 121,232,315:


Ask a Question