Q: What are the factor combinations of the number 121,012,331?

 A:
Positive:   1 x 12101233111 x 1100112129 x 4172839103 x 1174877127 x 952853319 x 379349841 x 1438911133 x 1068071397 x 866232987 x 405133683 x 328579251 x 13081
Negative: -1 x -121012331-11 x -11001121-29 x -4172839-103 x -1174877-127 x -952853-319 x -379349-841 x -143891-1133 x -106807-1397 x -86623-2987 x -40513-3683 x -32857-9251 x -13081


How do I find the factor combinations of the number 121,012,331?

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 121,012,331, 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.

1 121,012,331
-1 -121,012,331

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 121,012,331.

Example:
1 x 121,012,331 = 121,012,331
and
-1 x -121,012,331 = 121,012,331
Notice both answers equal 121,012,331

With that explanation out of the way, let's continue. Next, we take the number 121,012,331 and divide it by 2:

121,012,331 ÷ 2 = 60,506,165.5

If the quotient is a whole number, then 2 and 60,506,165.5 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:

1 121,012,331
-1 -121,012,331

Now, we try dividing 121,012,331 by 3:

121,012,331 ÷ 3 = 40,337,443.6667

If the quotient is a whole number, then 3 and 40,337,443.6667 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:

1 121,012,331
-1 -121,012,331

Let's try dividing by 4:

121,012,331 ÷ 4 = 30,253,082.75

If the quotient is a whole number, then 4 and 30,253,082.75 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:

1 121,012,331
-1 121,012,331
Keep dividing by the next highest number until you cannot divide anymore.

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

111291031273198411,1331,3972,9873,6839,25113,08132,85740,51386,623106,807143,891379,349952,8531,174,8774,172,83911,001,121121,012,331
-1-11-29-103-127-319-841-1,133-1,397-2,987-3,683-9,251-13,081-32,857-40,513-86,623-106,807-143,891-379,349-952,853-1,174,877-4,172,839-11,001,121-121,012,331

More Examples

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