Q: What are the factor combinations of the number 116,316,629?

 A:
Positive:   1 x 11631662911 x 1057423913 x 8947433143 x 813403233 x 4992132563 x 453833029 x 384013491 x 33319
Negative: -1 x -116316629-11 x -10574239-13 x -8947433-143 x -813403-233 x -499213-2563 x -45383-3029 x -38401-3491 x -33319


How do I find the factor combinations of the number 116,316,629?

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 116,316,629, 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.

1 116,316,629
-1 -116,316,629

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 116,316,629.

Example:
1 x 116,316,629 = 116,316,629
and
-1 x -116,316,629 = 116,316,629
Notice both answers equal 116,316,629

With that explanation out of the way, let's continue. Next, we take the number 116,316,629 and divide it by 2:

116,316,629 ÷ 2 = 58,158,314.5

If the quotient is a whole number, then 2 and 58,158,314.5 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:

1 116,316,629
-1 -116,316,629

Now, we try dividing 116,316,629 by 3:

116,316,629 ÷ 3 = 38,772,209.6667

If the quotient is a whole number, then 3 and 38,772,209.6667 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:

1 116,316,629
-1 -116,316,629

Let's try dividing by 4:

116,316,629 ÷ 4 = 29,079,157.25

If the quotient is a whole number, then 4 and 29,079,157.25 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:

1 116,316,629
-1 116,316,629
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432332,5633,0293,49133,31938,40145,383499,213813,4038,947,43310,574,239116,316,629
-1-11-13-143-233-2,563-3,029-3,491-33,319-38,401-45,383-499,213-813,403-8,947,433-10,574,239-116,316,629

More Examples

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