Q: What are the factor combinations of the number 131,156,333?

 A:
Positive:   1 x 1311563337 x 1873661911 x 1192330377 x 17033291087 x 1206591567 x 836997609 x 1723710969 x 11957
Negative: -1 x -131156333-7 x -18736619-11 x -11923303-77 x -1703329-1087 x -120659-1567 x -83699-7609 x -17237-10969 x -11957


How do I find the factor combinations of the number 131,156,333?

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 131,156,333, 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.

1 131,156,333
-1 -131,156,333

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 131,156,333.

Example:
1 x 131,156,333 = 131,156,333
and
-1 x -131,156,333 = 131,156,333
Notice both answers equal 131,156,333

With that explanation out of the way, let's continue. Next, we take the number 131,156,333 and divide it by 2:

131,156,333 ÷ 2 = 65,578,166.5

If the quotient is a whole number, then 2 and 65,578,166.5 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:

1 131,156,333
-1 -131,156,333

Now, we try dividing 131,156,333 by 3:

131,156,333 ÷ 3 = 43,718,777.6667

If the quotient is a whole number, then 3 and 43,718,777.6667 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:

1 131,156,333
-1 -131,156,333

Let's try dividing by 4:

131,156,333 ÷ 4 = 32,789,083.25

If the quotient is a whole number, then 4 and 32,789,083.25 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:

1 131,156,333
-1 131,156,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,0871,5677,60910,96911,95717,23783,699120,6591,703,32911,923,30318,736,619131,156,333
-1-7-11-77-1,087-1,567-7,609-10,969-11,957-17,237-83,699-120,659-1,703,329-11,923,303-18,736,619-131,156,333

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