Q: What are the factor combinations of the number 231,151,555?

 A:
Positive:   1 x 2311515555 x 46230311151 x 1530805211 x 1095505755 x 3061611055 x 2191011451 x 1593057255 x 31861
Negative: -1 x -231151555-5 x -46230311-151 x -1530805-211 x -1095505-755 x -306161-1055 x -219101-1451 x -159305-7255 x -31861


How do I find the factor combinations of the number 231,151,555?

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 231,151,555, 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.

1 231,151,555
-1 -231,151,555

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 231,151,555.

Example:
1 x 231,151,555 = 231,151,555
and
-1 x -231,151,555 = 231,151,555
Notice both answers equal 231,151,555

With that explanation out of the way, let's continue. Next, we take the number 231,151,555 and divide it by 2:

231,151,555 ÷ 2 = 115,575,777.5

If the quotient is a whole number, then 2 and 115,575,777.5 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:

1 231,151,555
-1 -231,151,555

Now, we try dividing 231,151,555 by 3:

231,151,555 ÷ 3 = 77,050,518.3333

If the quotient is a whole number, then 3 and 77,050,518.3333 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:

1 231,151,555
-1 -231,151,555

Let's try dividing by 4:

231,151,555 ÷ 4 = 57,787,888.75

If the quotient is a whole number, then 4 and 57,787,888.75 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:

1 231,151,555
-1 231,151,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151512117551,0551,4517,25531,861159,305219,101306,1611,095,5051,530,80546,230,311231,151,555
-1-5-151-211-755-1,055-1,451-7,255-31,861-159,305-219,101-306,161-1,095,505-1,530,805-46,230,311-231,151,555

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