Q: What are the factor combinations of the number 231,751,555?

 A:
Positive:   1 x 2317515555 x 463503117 x 3310736535 x 6621473457 x 5071152285 x 1014233199 x 7244514489 x 15995
Negative: -1 x -231751555-5 x -46350311-7 x -33107365-35 x -6621473-457 x -507115-2285 x -101423-3199 x -72445-14489 x -15995


How do I find the factor combinations of the number 231,751,555?

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 231,751,555, 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.

1 231,751,555
-1 -231,751,555

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 231,751,555.

Example:
1 x 231,751,555 = 231,751,555
and
-1 x -231,751,555 = 231,751,555
Notice both answers equal 231,751,555

With that explanation out of the way, let's continue. Next, we take the number 231,751,555 and divide it by 2:

231,751,555 ÷ 2 = 115,875,777.5

If the quotient is a whole number, then 2 and 115,875,777.5 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:

1 231,751,555
-1 -231,751,555

Now, we try dividing 231,751,555 by 3:

231,751,555 ÷ 3 = 77,250,518.3333

If the quotient is a whole number, then 3 and 77,250,518.3333 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:

1 231,751,555
-1 -231,751,555

Let's try dividing by 4:

231,751,555 ÷ 4 = 57,937,888.75

If the quotient is a whole number, then 4 and 57,937,888.75 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:

1 231,751,555
-1 231,751,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157354572,2853,19914,48915,99572,445101,423507,1156,621,47333,107,36546,350,311231,751,555
-1-5-7-35-457-2,285-3,199-14,489-15,995-72,445-101,423-507,115-6,621,473-33,107,365-46,350,311-231,751,555

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 231,751,555:


Ask a Question