Q: What are the factor combinations of the number 132,023,201?

 A:
Positive:   1 x 13202320143 x 307030773 x 1808537137 x 963673307 x 4300433139 x 420595891 x 2241110001 x 13201
Negative: -1 x -132023201-43 x -3070307-73 x -1808537-137 x -963673-307 x -430043-3139 x -42059-5891 x -22411-10001 x -13201


How do I find the factor combinations of the number 132,023,201?

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 132,023,201, 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.

1 132,023,201
-1 -132,023,201

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 132,023,201.

Example:
1 x 132,023,201 = 132,023,201
and
-1 x -132,023,201 = 132,023,201
Notice both answers equal 132,023,201

With that explanation out of the way, let's continue. Next, we take the number 132,023,201 and divide it by 2:

132,023,201 ÷ 2 = 66,011,600.5

If the quotient is a whole number, then 2 and 66,011,600.5 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:

1 132,023,201
-1 -132,023,201

Now, we try dividing 132,023,201 by 3:

132,023,201 ÷ 3 = 44,007,733.6667

If the quotient is a whole number, then 3 and 44,007,733.6667 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:

1 132,023,201
-1 -132,023,201

Let's try dividing by 4:

132,023,201 ÷ 4 = 33,005,800.25

If the quotient is a whole number, then 4 and 33,005,800.25 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:

1 132,023,201
-1 132,023,201
Keep dividing by the next highest number until you cannot divide anymore.

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

143731373073,1395,89110,00113,20122,41142,059430,043963,6731,808,5373,070,307132,023,201
-1-43-73-137-307-3,139-5,891-10,001-13,201-22,411-42,059-430,043-963,673-1,808,537-3,070,307-132,023,201

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