Q: What are the factor combinations of the number 189,058,105?

 A:
Positive:   1 x 1890581055 x 3781162117 x 1112106529 x 651924585 x 2224213145 x 1303849493 x 3834852465 x 76697
Negative: -1 x -189058105-5 x -37811621-17 x -11121065-29 x -6519245-85 x -2224213-145 x -1303849-493 x -383485-2465 x -76697


How do I find the factor combinations of the number 189,058,105?

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 189,058,105, 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.

1 189,058,105
-1 -189,058,105

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 189,058,105.

Example:
1 x 189,058,105 = 189,058,105
and
-1 x -189,058,105 = 189,058,105
Notice both answers equal 189,058,105

With that explanation out of the way, let's continue. Next, we take the number 189,058,105 and divide it by 2:

189,058,105 ÷ 2 = 94,529,052.5

If the quotient is a whole number, then 2 and 94,529,052.5 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:

1 189,058,105
-1 -189,058,105

Now, we try dividing 189,058,105 by 3:

189,058,105 ÷ 3 = 63,019,368.3333

If the quotient is a whole number, then 3 and 63,019,368.3333 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:

1 189,058,105
-1 -189,058,105

Let's try dividing by 4:

189,058,105 ÷ 4 = 47,264,526.25

If the quotient is a whole number, then 4 and 47,264,526.25 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:

1 189,058,105
-1 189,058,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,46576,697383,4851,303,8492,224,2136,519,24511,121,06537,811,621189,058,105
-1-5-17-29-85-145-493-2,465-76,697-383,485-1,303,849-2,224,213-6,519,245-11,121,065-37,811,621-189,058,105

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