Q: What are the factor combinations of the number 132,301,009?

 A:
Positive:   1 x 13230100919 x 696321161 x 2168869211 x 627019541 x 2445491159 x 1141514009 x 3300110279 x 12871
Negative: -1 x -132301009-19 x -6963211-61 x -2168869-211 x -627019-541 x -244549-1159 x -114151-4009 x -33001-10279 x -12871


How do I find the factor combinations of the number 132,301,009?

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 132,301,009, 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.

1 132,301,009
-1 -132,301,009

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 132,301,009.

Example:
1 x 132,301,009 = 132,301,009
and
-1 x -132,301,009 = 132,301,009
Notice both answers equal 132,301,009

With that explanation out of the way, let's continue. Next, we take the number 132,301,009 and divide it by 2:

132,301,009 ÷ 2 = 66,150,504.5

If the quotient is a whole number, then 2 and 66,150,504.5 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:

1 132,301,009
-1 -132,301,009

Now, we try dividing 132,301,009 by 3:

132,301,009 ÷ 3 = 44,100,336.3333

If the quotient is a whole number, then 3 and 44,100,336.3333 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:

1 132,301,009
-1 -132,301,009

Let's try dividing by 4:

132,301,009 ÷ 4 = 33,075,252.25

If the quotient is a whole number, then 4 and 33,075,252.25 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:

1 132,301,009
-1 132,301,009
Keep dividing by the next highest number until you cannot divide anymore.

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

119612115411,1594,00910,27912,87133,001114,151244,549627,0192,168,8696,963,211132,301,009
-1-19-61-211-541-1,159-4,009-10,279-12,871-33,001-114,151-244,549-627,019-2,168,869-6,963,211-132,301,009

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