Q: What are the factor combinations of the number 122,357,155?

 A:
Positive:   1 x 1223571555 x 2447143131 x 394700561 x 2005855155 x 789401305 x 4011711891 x 647059455 x 12941
Negative: -1 x -122357155-5 x -24471431-31 x -3947005-61 x -2005855-155 x -789401-305 x -401171-1891 x -64705-9455 x -12941


How do I find the factor combinations of the number 122,357,155?

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 122,357,155, 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.

1 122,357,155
-1 -122,357,155

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 122,357,155.

Example:
1 x 122,357,155 = 122,357,155
and
-1 x -122,357,155 = 122,357,155
Notice both answers equal 122,357,155

With that explanation out of the way, let's continue. Next, we take the number 122,357,155 and divide it by 2:

122,357,155 ÷ 2 = 61,178,577.5

If the quotient is a whole number, then 2 and 61,178,577.5 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:

1 122,357,155
-1 -122,357,155

Now, we try dividing 122,357,155 by 3:

122,357,155 ÷ 3 = 40,785,718.3333

If the quotient is a whole number, then 3 and 40,785,718.3333 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:

1 122,357,155
-1 -122,357,155

Let's try dividing by 4:

122,357,155 ÷ 4 = 30,589,288.75

If the quotient is a whole number, then 4 and 30,589,288.75 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:

1 122,357,155
-1 122,357,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1531611553051,8919,45512,94164,705401,171789,4012,005,8553,947,00524,471,431122,357,155
-1-5-31-61-155-305-1,891-9,455-12,941-64,705-401,171-789,401-2,005,855-3,947,005-24,471,431-122,357,155

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