Q: What are the factor combinations of the number 131,120,201?

 A:
Positive:   1 x 13112020117 x 771295343 x 3049307181 x 724421731 x 179371991 x 1323113077 x 426137783 x 16847
Negative: -1 x -131120201-17 x -7712953-43 x -3049307-181 x -724421-731 x -179371-991 x -132311-3077 x -42613-7783 x -16847


How do I find the factor combinations of the number 131,120,201?

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 131,120,201, 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.

1 131,120,201
-1 -131,120,201

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 131,120,201.

Example:
1 x 131,120,201 = 131,120,201
and
-1 x -131,120,201 = 131,120,201
Notice both answers equal 131,120,201

With that explanation out of the way, let's continue. Next, we take the number 131,120,201 and divide it by 2:

131,120,201 ÷ 2 = 65,560,100.5

If the quotient is a whole number, then 2 and 65,560,100.5 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:

1 131,120,201
-1 -131,120,201

Now, we try dividing 131,120,201 by 3:

131,120,201 ÷ 3 = 43,706,733.6667

If the quotient is a whole number, then 3 and 43,706,733.6667 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:

1 131,120,201
-1 -131,120,201

Let's try dividing by 4:

131,120,201 ÷ 4 = 32,780,050.25

If the quotient is a whole number, then 4 and 32,780,050.25 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:

1 131,120,201
-1 131,120,201
Keep dividing by the next highest number until you cannot divide anymore.

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

117431817319913,0777,78316,84742,613132,311179,371724,4213,049,3077,712,953131,120,201
-1-17-43-181-731-991-3,077-7,783-16,847-42,613-132,311-179,371-724,421-3,049,307-7,712,953-131,120,201

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