Q: What are the factor combinations of the number 207,037,027?

 A:
Positive:   1 x 20703702753 x 3906359409 x 5062039551 x 21677
Negative: -1 x -207037027-53 x -3906359-409 x -506203-9551 x -21677


How do I find the factor combinations of the number 207,037,027?

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 207,037,027, 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.

1 207,037,027
-1 -207,037,027

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 207,037,027.

Example:
1 x 207,037,027 = 207,037,027
and
-1 x -207,037,027 = 207,037,027
Notice both answers equal 207,037,027

With that explanation out of the way, let's continue. Next, we take the number 207,037,027 and divide it by 2:

207,037,027 ÷ 2 = 103,518,513.5

If the quotient is a whole number, then 2 and 103,518,513.5 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:

1 207,037,027
-1 -207,037,027

Now, we try dividing 207,037,027 by 3:

207,037,027 ÷ 3 = 69,012,342.3333

If the quotient is a whole number, then 3 and 69,012,342.3333 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:

1 207,037,027
-1 -207,037,027

Let's try dividing by 4:

207,037,027 ÷ 4 = 51,759,256.75

If the quotient is a whole number, then 4 and 51,759,256.75 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:

1 207,037,027
-1 207,037,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1534099,55121,677506,2033,906,359207,037,027
-1-53-409-9,551-21,677-506,203-3,906,359-207,037,027

More Examples

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