Q: What are the factor combinations of the number 121,031,323?

 A:
Positive:   1 x 1210313237 x 1729018949 x 2470027257 x 470939343 x 3528611373 x 881511799 x 672779611 x 12593
Negative: -1 x -121031323-7 x -17290189-49 x -2470027-257 x -470939-343 x -352861-1373 x -88151-1799 x -67277-9611 x -12593


How do I find the factor combinations of the number 121,031,323?

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 121,031,323, 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.

1 121,031,323
-1 -121,031,323

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 121,031,323.

Example:
1 x 121,031,323 = 121,031,323
and
-1 x -121,031,323 = 121,031,323
Notice both answers equal 121,031,323

With that explanation out of the way, let's continue. Next, we take the number 121,031,323 and divide it by 2:

121,031,323 ÷ 2 = 60,515,661.5

If the quotient is a whole number, then 2 and 60,515,661.5 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:

1 121,031,323
-1 -121,031,323

Now, we try dividing 121,031,323 by 3:

121,031,323 ÷ 3 = 40,343,774.3333

If the quotient is a whole number, then 3 and 40,343,774.3333 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:

1 121,031,323
-1 -121,031,323

Let's try dividing by 4:

121,031,323 ÷ 4 = 30,257,830.75

If the quotient is a whole number, then 4 and 30,257,830.75 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:

1 121,031,323
-1 121,031,323
Keep dividing by the next highest number until you cannot divide anymore.

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

17492573431,3731,7999,61112,59367,27788,151352,861470,9392,470,02717,290,189121,031,323
-1-7-49-257-343-1,373-1,799-9,611-12,593-67,277-88,151-352,861-470,939-2,470,027-17,290,189-121,031,323

More Examples

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