Q: What are the factor combinations of the number 116,456,035?

 A:
Positive:   1 x 1164560355 x 2329120717 x 685035519 x 612926585 x 137007195 x 1225853323 x 3605451615 x 72109
Negative: -1 x -116456035-5 x -23291207-17 x -6850355-19 x -6129265-85 x -1370071-95 x -1225853-323 x -360545-1615 x -72109


How do I find the factor combinations of the number 116,456,035?

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 116,456,035, 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.

1 116,456,035
-1 -116,456,035

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 116,456,035.

Example:
1 x 116,456,035 = 116,456,035
and
-1 x -116,456,035 = 116,456,035
Notice both answers equal 116,456,035

With that explanation out of the way, let's continue. Next, we take the number 116,456,035 and divide it by 2:

116,456,035 ÷ 2 = 58,228,017.5

If the quotient is a whole number, then 2 and 58,228,017.5 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:

1 116,456,035
-1 -116,456,035

Now, we try dividing 116,456,035 by 3:

116,456,035 ÷ 3 = 38,818,678.3333

If the quotient is a whole number, then 3 and 38,818,678.3333 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:

1 116,456,035
-1 -116,456,035

Let's try dividing by 4:

116,456,035 ÷ 4 = 29,114,008.75

If the quotient is a whole number, then 4 and 29,114,008.75 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:

1 116,456,035
-1 116,456,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61572,109360,5451,225,8531,370,0716,129,2656,850,35523,291,207116,456,035
-1-5-17-19-85-95-323-1,615-72,109-360,545-1,225,853-1,370,071-6,129,265-6,850,355-23,291,207-116,456,035

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