Q: What are the factor combinations of the number 2,160,037?

 A:
Positive:   1 x 216003711 x 19636717 x 127061187 x 11551
Negative: -1 x -2160037-11 x -196367-17 x -127061-187 x -11551


How do I find the factor combinations of the number 2,160,037?

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 2,160,037, 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 2,160,037
-1 -2,160,037

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 2,160,037.

Example:
1 x 2,160,037 = 2,160,037
and
-1 x -2,160,037 = 2,160,037
Notice both answers equal 2,160,037

With that explanation out of the way, let's continue. Next, we take the number 2,160,037 and divide it by 2:

2,160,037 ÷ 2 = 1,080,018.5

If the quotient is a whole number, then 2 and 1,080,018.5 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 2,160,037
-1 -2,160,037

Now, we try dividing 2,160,037 by 3:

2,160,037 ÷ 3 = 720,012.3333

If the quotient is a whole number, then 3 and 720,012.3333 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 2,160,037
-1 -2,160,037

Let's try dividing by 4:

2,160,037 ÷ 4 = 540,009.25

If the quotient is a whole number, then 4 and 540,009.25 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 2,160,037
-1 2,160,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1111718711,551127,061196,3672,160,037
-1-11-17-187-11,551-127,061-196,367-2,160,037

More Examples

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