Q: What are the factor combinations of the number 347,887,267?

 A:
Positive:   1 x 3478872677 x 4969818113 x 2676055973 x 476557991 x 3822937511 x 680797949 x 3665836643 x 52369
Negative: -1 x -347887267-7 x -49698181-13 x -26760559-73 x -4765579-91 x -3822937-511 x -680797-949 x -366583-6643 x -52369


How do I find the factor combinations of the number 347,887,267?

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 347,887,267, 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.

1 347,887,267
-1 -347,887,267

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 347,887,267.

Example:
1 x 347,887,267 = 347,887,267
and
-1 x -347,887,267 = 347,887,267
Notice both answers equal 347,887,267

With that explanation out of the way, let's continue. Next, we take the number 347,887,267 and divide it by 2:

347,887,267 ÷ 2 = 173,943,633.5

If the quotient is a whole number, then 2 and 173,943,633.5 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:

1 347,887,267
-1 -347,887,267

Now, we try dividing 347,887,267 by 3:

347,887,267 ÷ 3 = 115,962,422.3333

If the quotient is a whole number, then 3 and 115,962,422.3333 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:

1 347,887,267
-1 -347,887,267

Let's try dividing by 4:

347,887,267 ÷ 4 = 86,971,816.75

If the quotient is a whole number, then 4 and 86,971,816.75 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:

1 347,887,267
-1 347,887,267
Keep dividing by the next highest number until you cannot divide anymore.

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

171373915119496,64352,369366,583680,7973,822,9374,765,57926,760,55949,698,181347,887,267
-1-7-13-73-91-511-949-6,643-52,369-366,583-680,797-3,822,937-4,765,579-26,760,559-49,698,181-347,887,267

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