Q: What are the factor combinations of the number 121,026,439?

 A:
Positive:   1 x 121026439359 x 337121
Negative: -1 x -121026439-359 x -337121


How do I find the factor combinations of the number 121,026,439?

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 121,026,439, 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.

1 121,026,439
-1 -121,026,439

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 121,026,439.

Example:
1 x 121,026,439 = 121,026,439
and
-1 x -121,026,439 = 121,026,439
Notice both answers equal 121,026,439

With that explanation out of the way, let's continue. Next, we take the number 121,026,439 and divide it by 2:

121,026,439 ÷ 2 = 60,513,219.5

If the quotient is a whole number, then 2 and 60,513,219.5 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:

1 121,026,439
-1 -121,026,439

Now, we try dividing 121,026,439 by 3:

121,026,439 ÷ 3 = 40,342,146.3333

If the quotient is a whole number, then 3 and 40,342,146.3333 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:

1 121,026,439
-1 -121,026,439

Let's try dividing by 4:

121,026,439 ÷ 4 = 30,256,609.75

If the quotient is a whole number, then 4 and 30,256,609.75 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:

1 121,026,439
-1 121,026,439
Keep dividing by the next highest number until you cannot divide anymore.

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

1359337,121121,026,439
-1-359-337,121-121,026,439

More Examples

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