Q: What are the factor combinations of the number 120,405,455?

 A:
Positive:   1 x 1204054555 x 24081091103 x 1168985113 x 1065535515 x 233797565 x 2131072069 x 5819510345 x 11639
Negative: -1 x -120405455-5 x -24081091-103 x -1168985-113 x -1065535-515 x -233797-565 x -213107-2069 x -58195-10345 x -11639


How do I find the factor combinations of the number 120,405,455?

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 120,405,455, 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.

1 120,405,455
-1 -120,405,455

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 120,405,455.

Example:
1 x 120,405,455 = 120,405,455
and
-1 x -120,405,455 = 120,405,455
Notice both answers equal 120,405,455

With that explanation out of the way, let's continue. Next, we take the number 120,405,455 and divide it by 2:

120,405,455 ÷ 2 = 60,202,727.5

If the quotient is a whole number, then 2 and 60,202,727.5 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:

1 120,405,455
-1 -120,405,455

Now, we try dividing 120,405,455 by 3:

120,405,455 ÷ 3 = 40,135,151.6667

If the quotient is a whole number, then 3 and 40,135,151.6667 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:

1 120,405,455
-1 -120,405,455

Let's try dividing by 4:

120,405,455 ÷ 4 = 30,101,363.75

If the quotient is a whole number, then 4 and 30,101,363.75 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:

1 120,405,455
-1 120,405,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151031135155652,06910,34511,63958,195213,107233,7971,065,5351,168,98524,081,091120,405,455
-1-5-103-113-515-565-2,069-10,345-11,639-58,195-213,107-233,797-1,065,535-1,168,985-24,081,091-120,405,455

More Examples

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