Q: What are the factor combinations of the number 122,424,331?

 A:
Positive:   1 x 12242433123 x 532279747 x 2604773109 x 11231591039 x 1178291081 x 1132512507 x 488335123 x 23897
Negative: -1 x -122424331-23 x -5322797-47 x -2604773-109 x -1123159-1039 x -117829-1081 x -113251-2507 x -48833-5123 x -23897


How do I find the factor combinations of the number 122,424,331?

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 122,424,331, 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.

1 122,424,331
-1 -122,424,331

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 122,424,331.

Example:
1 x 122,424,331 = 122,424,331
and
-1 x -122,424,331 = 122,424,331
Notice both answers equal 122,424,331

With that explanation out of the way, let's continue. Next, we take the number 122,424,331 and divide it by 2:

122,424,331 ÷ 2 = 61,212,165.5

If the quotient is a whole number, then 2 and 61,212,165.5 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:

1 122,424,331
-1 -122,424,331

Now, we try dividing 122,424,331 by 3:

122,424,331 ÷ 3 = 40,808,110.3333

If the quotient is a whole number, then 3 and 40,808,110.3333 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:

1 122,424,331
-1 -122,424,331

Let's try dividing by 4:

122,424,331 ÷ 4 = 30,606,082.75

If the quotient is a whole number, then 4 and 30,606,082.75 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:

1 122,424,331
-1 122,424,331
Keep dividing by the next highest number until you cannot divide anymore.

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

123471091,0391,0812,5075,12323,89748,833113,251117,8291,123,1592,604,7735,322,797122,424,331
-1-23-47-109-1,039-1,081-2,507-5,123-23,897-48,833-113,251-117,829-1,123,159-2,604,773-5,322,797-122,424,331

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