Q: What are the factor combinations of the number 116,045,027?

 A:
Positive:   1 x 1160450277 x 1657786119 x 610763371 x 1634437133 x 872519497 x 2334911349 x 860239443 x 12289
Negative: -1 x -116045027-7 x -16577861-19 x -6107633-71 x -1634437-133 x -872519-497 x -233491-1349 x -86023-9443 x -12289


How do I find the factor combinations of the number 116,045,027?

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 116,045,027, 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.

1 116,045,027
-1 -116,045,027

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 116,045,027.

Example:
1 x 116,045,027 = 116,045,027
and
-1 x -116,045,027 = 116,045,027
Notice both answers equal 116,045,027

With that explanation out of the way, let's continue. Next, we take the number 116,045,027 and divide it by 2:

116,045,027 ÷ 2 = 58,022,513.5

If the quotient is a whole number, then 2 and 58,022,513.5 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:

1 116,045,027
-1 -116,045,027

Now, we try dividing 116,045,027 by 3:

116,045,027 ÷ 3 = 38,681,675.6667

If the quotient is a whole number, then 3 and 38,681,675.6667 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:

1 116,045,027
-1 -116,045,027

Let's try dividing by 4:

116,045,027 ÷ 4 = 29,011,256.75

If the quotient is a whole number, then 4 and 29,011,256.75 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:

1 116,045,027
-1 116,045,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1719711334971,3499,44312,28986,023233,491872,5191,634,4376,107,63316,577,861116,045,027
-1-7-19-71-133-497-1,349-9,443-12,289-86,023-233,491-872,519-1,634,437-6,107,633-16,577,861-116,045,027

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