Q: What are the factor combinations of the number 122,420,555?

 A:
Positive:   1 x 1224205555 x 24484111269 x 4550951345 x 91019
Negative: -1 x -122420555-5 x -24484111-269 x -455095-1345 x -91019


How do I find the factor combinations of the number 122,420,555?

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 122,420,555, 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.

1 122,420,555
-1 -122,420,555

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 122,420,555.

Example:
1 x 122,420,555 = 122,420,555
and
-1 x -122,420,555 = 122,420,555
Notice both answers equal 122,420,555

With that explanation out of the way, let's continue. Next, we take the number 122,420,555 and divide it by 2:

122,420,555 ÷ 2 = 61,210,277.5

If the quotient is a whole number, then 2 and 61,210,277.5 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:

1 122,420,555
-1 -122,420,555

Now, we try dividing 122,420,555 by 3:

122,420,555 ÷ 3 = 40,806,851.6667

If the quotient is a whole number, then 3 and 40,806,851.6667 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:

1 122,420,555
-1 -122,420,555

Let's try dividing by 4:

122,420,555 ÷ 4 = 30,605,138.75

If the quotient is a whole number, then 4 and 30,605,138.75 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:

1 122,420,555
-1 122,420,555
Keep dividing by the next highest number until you cannot divide anymore.

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

152691,34591,019455,09524,484,111122,420,555
-1-5-269-1,345-91,019-455,095-24,484,111-122,420,555

More Examples

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