Q: What are the factor combinations of the number 122,112,155?

 A:
Positive:   1 x 1221121555 x 2442243111 x 1110110555 x 2220221109 x 1120295545 x 2240591199 x 1018455995 x 20369
Negative: -1 x -122112155-5 x -24422431-11 x -11101105-55 x -2220221-109 x -1120295-545 x -224059-1199 x -101845-5995 x -20369


How do I find the factor combinations of the number 122,112,155?

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 122,112,155, 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.

1 122,112,155
-1 -122,112,155

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 122,112,155.

Example:
1 x 122,112,155 = 122,112,155
and
-1 x -122,112,155 = 122,112,155
Notice both answers equal 122,112,155

With that explanation out of the way, let's continue. Next, we take the number 122,112,155 and divide it by 2:

122,112,155 ÷ 2 = 61,056,077.5

If the quotient is a whole number, then 2 and 61,056,077.5 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:

1 122,112,155
-1 -122,112,155

Now, we try dividing 122,112,155 by 3:

122,112,155 ÷ 3 = 40,704,051.6667

If the quotient is a whole number, then 3 and 40,704,051.6667 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:

1 122,112,155
-1 -122,112,155

Let's try dividing by 4:

122,112,155 ÷ 4 = 30,528,038.75

If the quotient is a whole number, then 4 and 30,528,038.75 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:

1 122,112,155
-1 122,112,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551095451,1995,99520,369101,845224,0591,120,2952,220,22111,101,10524,422,431122,112,155
-1-5-11-55-109-545-1,199-5,995-20,369-101,845-224,059-1,120,295-2,220,221-11,101,105-24,422,431-122,112,155

More Examples

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