Q: What are the factor combinations of the number 132,034,105?

 A:
Positive:   1 x 1320341055 x 264068217 x 1886201535 x 3772403727 x 1816153635 x 363235089 x 259455189 x 25445
Negative: -1 x -132034105-5 x -26406821-7 x -18862015-35 x -3772403-727 x -181615-3635 x -36323-5089 x -25945-5189 x -25445


How do I find the factor combinations of the number 132,034,105?

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 132,034,105, 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.

1 132,034,105
-1 -132,034,105

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 132,034,105.

Example:
1 x 132,034,105 = 132,034,105
and
-1 x -132,034,105 = 132,034,105
Notice both answers equal 132,034,105

With that explanation out of the way, let's continue. Next, we take the number 132,034,105 and divide it by 2:

132,034,105 ÷ 2 = 66,017,052.5

If the quotient is a whole number, then 2 and 66,017,052.5 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:

1 132,034,105
-1 -132,034,105

Now, we try dividing 132,034,105 by 3:

132,034,105 ÷ 3 = 44,011,368.3333

If the quotient is a whole number, then 3 and 44,011,368.3333 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:

1 132,034,105
-1 -132,034,105

Let's try dividing by 4:

132,034,105 ÷ 4 = 33,008,526.25

If the quotient is a whole number, then 4 and 33,008,526.25 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:

1 132,034,105
-1 132,034,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157357273,6355,0895,18925,44525,94536,323181,6153,772,40318,862,01526,406,821132,034,105
-1-5-7-35-727-3,635-5,089-5,189-25,445-25,945-36,323-181,615-3,772,403-18,862,015-26,406,821-132,034,105

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