Q: What are the factor combinations of the number 122,732,155?

 A:
Positive:   1 x 1227321555 x 245464317 x 1753316513 x 944093535 x 350663365 x 188818791 x 1348705455 x 269741
Negative: -1 x -122732155-5 x -24546431-7 x -17533165-13 x -9440935-35 x -3506633-65 x -1888187-91 x -1348705-455 x -269741


How do I find the factor combinations of the number 122,732,155?

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 122,732,155, 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.

1 122,732,155
-1 -122,732,155

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 122,732,155.

Example:
1 x 122,732,155 = 122,732,155
and
-1 x -122,732,155 = 122,732,155
Notice both answers equal 122,732,155

With that explanation out of the way, let's continue. Next, we take the number 122,732,155 and divide it by 2:

122,732,155 ÷ 2 = 61,366,077.5

If the quotient is a whole number, then 2 and 61,366,077.5 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:

1 122,732,155
-1 -122,732,155

Now, we try dividing 122,732,155 by 3:

122,732,155 ÷ 3 = 40,910,718.3333

If the quotient is a whole number, then 3 and 40,910,718.3333 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:

1 122,732,155
-1 -122,732,155

Let's try dividing by 4:

122,732,155 ÷ 4 = 30,683,038.75

If the quotient is a whole number, then 4 and 30,683,038.75 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:

1 122,732,155
-1 122,732,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455269,7411,348,7051,888,1873,506,6339,440,93517,533,16524,546,431122,732,155
-1-5-7-13-35-65-91-455-269,741-1,348,705-1,888,187-3,506,633-9,440,935-17,533,165-24,546,431-122,732,155

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