Q: What are the factor combinations of the number 264,631,307?

 A:
Positive:   1 x 26463130723 x 1150570967 x 394972183 x 31883291541 x 1717271909 x 1386232069 x 1279035561 x 47587
Negative: -1 x -264631307-23 x -11505709-67 x -3949721-83 x -3188329-1541 x -171727-1909 x -138623-2069 x -127903-5561 x -47587


How do I find the factor combinations of the number 264,631,307?

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 264,631,307, 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.

1 264,631,307
-1 -264,631,307

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 264,631,307.

Example:
1 x 264,631,307 = 264,631,307
and
-1 x -264,631,307 = 264,631,307
Notice both answers equal 264,631,307

With that explanation out of the way, let's continue. Next, we take the number 264,631,307 and divide it by 2:

264,631,307 ÷ 2 = 132,315,653.5

If the quotient is a whole number, then 2 and 132,315,653.5 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:

1 264,631,307
-1 -264,631,307

Now, we try dividing 264,631,307 by 3:

264,631,307 ÷ 3 = 88,210,435.6667

If the quotient is a whole number, then 3 and 88,210,435.6667 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:

1 264,631,307
-1 -264,631,307

Let's try dividing by 4:

264,631,307 ÷ 4 = 66,157,826.75

If the quotient is a whole number, then 4 and 66,157,826.75 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:

1 264,631,307
-1 264,631,307
Keep dividing by the next highest number until you cannot divide anymore.

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

12367831,5411,9092,0695,56147,587127,903138,623171,7273,188,3293,949,72111,505,709264,631,307
-1-23-67-83-1,541-1,909-2,069-5,561-47,587-127,903-138,623-171,727-3,188,329-3,949,721-11,505,709-264,631,307

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