Q: What are the factor combinations of the number 68,543,431?

 A:
Positive:   1 x 6854343111 x 623122119 x 360754941 x 1671791209 x 327959361 x 189871421 x 162811451 x 151981779 x 879893971 x 172614631 x 148017999 x 8569
Negative: -1 x -68543431-11 x -6231221-19 x -3607549-41 x -1671791-209 x -327959-361 x -189871-421 x -162811-451 x -151981-779 x -87989-3971 x -17261-4631 x -14801-7999 x -8569


How do I find the factor combinations of the number 68,543,431?

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 68,543,431, 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 68,543,431
-1 -68,543,431

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 68,543,431.

Example:
1 x 68,543,431 = 68,543,431
and
-1 x -68,543,431 = 68,543,431
Notice both answers equal 68,543,431

With that explanation out of the way, let's continue. Next, we take the number 68,543,431 and divide it by 2:

68,543,431 ÷ 2 = 34,271,715.5

If the quotient is a whole number, then 2 and 34,271,715.5 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 68,543,431
-1 -68,543,431

Now, we try dividing 68,543,431 by 3:

68,543,431 ÷ 3 = 22,847,810.3333

If the quotient is a whole number, then 3 and 22,847,810.3333 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 68,543,431
-1 -68,543,431

Let's try dividing by 4:

68,543,431 ÷ 4 = 17,135,857.75

If the quotient is a whole number, then 4 and 17,135,857.75 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 68,543,431
-1 68,543,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11119412093614214517793,9714,6317,9998,56914,80117,26187,989151,981162,811189,871327,9591,671,7913,607,5496,231,22168,543,431
-1-11-19-41-209-361-421-451-779-3,971-4,631-7,999-8,569-14,801-17,261-87,989-151,981-162,811-189,871-327,959-1,671,791-3,607,549-6,231,221-68,543,431

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