Q: What are the factor combinations of the number 483,637,189?

 A:
Positive:   1 x 4836371897 x 6909102741 x 11796029287 x 1685147809 x 5978212083 x 2321835663 x 8540314581 x 33169
Negative: -1 x -483637189-7 x -69091027-41 x -11796029-287 x -1685147-809 x -597821-2083 x -232183-5663 x -85403-14581 x -33169


How do I find the factor combinations of the number 483,637,189?

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 483,637,189, 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.

1 483,637,189
-1 -483,637,189

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 483,637,189.

Example:
1 x 483,637,189 = 483,637,189
and
-1 x -483,637,189 = 483,637,189
Notice both answers equal 483,637,189

With that explanation out of the way, let's continue. Next, we take the number 483,637,189 and divide it by 2:

483,637,189 ÷ 2 = 241,818,594.5

If the quotient is a whole number, then 2 and 241,818,594.5 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:

1 483,637,189
-1 -483,637,189

Now, we try dividing 483,637,189 by 3:

483,637,189 ÷ 3 = 161,212,396.3333

If the quotient is a whole number, then 3 and 161,212,396.3333 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:

1 483,637,189
-1 -483,637,189

Let's try dividing by 4:

483,637,189 ÷ 4 = 120,909,297.25

If the quotient is a whole number, then 4 and 120,909,297.25 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:

1 483,637,189
-1 483,637,189
Keep dividing by the next highest number until you cannot divide anymore.

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

17412878092,0835,66314,58133,16985,403232,183597,8211,685,14711,796,02969,091,027483,637,189
-1-7-41-287-809-2,083-5,663-14,581-33,169-85,403-232,183-597,821-1,685,147-11,796,029-69,091,027-483,637,189

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