Q: What are the factor combinations of the number 207,151,307?

 A:
Positive:   1 x 20715130711 x 1883193717 x 12185371187 x 1107761739 x 2803131499 x 1381938129 x 2548312563 x 16489
Negative: -1 x -207151307-11 x -18831937-17 x -12185371-187 x -1107761-739 x -280313-1499 x -138193-8129 x -25483-12563 x -16489


How do I find the factor combinations of the number 207,151,307?

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 207,151,307, 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.

1 207,151,307
-1 -207,151,307

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 207,151,307.

Example:
1 x 207,151,307 = 207,151,307
and
-1 x -207,151,307 = 207,151,307
Notice both answers equal 207,151,307

With that explanation out of the way, let's continue. Next, we take the number 207,151,307 and divide it by 2:

207,151,307 ÷ 2 = 103,575,653.5

If the quotient is a whole number, then 2 and 103,575,653.5 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:

1 207,151,307
-1 -207,151,307

Now, we try dividing 207,151,307 by 3:

207,151,307 ÷ 3 = 69,050,435.6667

If the quotient is a whole number, then 3 and 69,050,435.6667 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:

1 207,151,307
-1 -207,151,307

Let's try dividing by 4:

207,151,307 ÷ 4 = 51,787,826.75

If the quotient is a whole number, then 4 and 51,787,826.75 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:

1 207,151,307
-1 207,151,307
Keep dividing by the next highest number until you cannot divide anymore.

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

111171877391,4998,12912,56316,48925,483138,193280,3131,107,76112,185,37118,831,937207,151,307
-1-11-17-187-739-1,499-8,129-12,563-16,489-25,483-138,193-280,313-1,107,761-12,185,371-18,831,937-207,151,307

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