Q: What are the factor combinations of the number 120,151,135?

 A:
Positive:   1 x 1201511355 x 2403022713 x 924239565 x 1848479647 x 1857052857 x 420553235 x 371418411 x 14285
Negative: -1 x -120151135-5 x -24030227-13 x -9242395-65 x -1848479-647 x -185705-2857 x -42055-3235 x -37141-8411 x -14285


How do I find the factor combinations of the number 120,151,135?

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 120,151,135, 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.

1 120,151,135
-1 -120,151,135

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 120,151,135.

Example:
1 x 120,151,135 = 120,151,135
and
-1 x -120,151,135 = 120,151,135
Notice both answers equal 120,151,135

With that explanation out of the way, let's continue. Next, we take the number 120,151,135 and divide it by 2:

120,151,135 ÷ 2 = 60,075,567.5

If the quotient is a whole number, then 2 and 60,075,567.5 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:

1 120,151,135
-1 -120,151,135

Now, we try dividing 120,151,135 by 3:

120,151,135 ÷ 3 = 40,050,378.3333

If the quotient is a whole number, then 3 and 40,050,378.3333 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:

1 120,151,135
-1 -120,151,135

Let's try dividing by 4:

120,151,135 ÷ 4 = 30,037,783.75

If the quotient is a whole number, then 4 and 30,037,783.75 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:

1 120,151,135
-1 120,151,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1513656472,8573,2358,41114,28537,14142,055185,7051,848,4799,242,39524,030,227120,151,135
-1-5-13-65-647-2,857-3,235-8,411-14,285-37,141-42,055-185,705-1,848,479-9,242,395-24,030,227-120,151,135

More Examples

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