Q: What are the factor combinations of the number 425,250,133?

 A:
Positive:   1 x 4252501337 x 6075001911 x 3865910377 x 5522729941 x 4519135869 x 724576587 x 6455910351 x 41083
Negative: -1 x -425250133-7 x -60750019-11 x -38659103-77 x -5522729-941 x -451913-5869 x -72457-6587 x -64559-10351 x -41083


How do I find the factor combinations of the number 425,250,133?

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 425,250,133, 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.

1 425,250,133
-1 -425,250,133

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 425,250,133.

Example:
1 x 425,250,133 = 425,250,133
and
-1 x -425,250,133 = 425,250,133
Notice both answers equal 425,250,133

With that explanation out of the way, let's continue. Next, we take the number 425,250,133 and divide it by 2:

425,250,133 ÷ 2 = 212,625,066.5

If the quotient is a whole number, then 2 and 212,625,066.5 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:

1 425,250,133
-1 -425,250,133

Now, we try dividing 425,250,133 by 3:

425,250,133 ÷ 3 = 141,750,044.3333

If the quotient is a whole number, then 3 and 141,750,044.3333 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:

1 425,250,133
-1 -425,250,133

Let's try dividing by 4:

425,250,133 ÷ 4 = 106,312,533.25

If the quotient is a whole number, then 4 and 106,312,533.25 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:

1 425,250,133
-1 425,250,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1711779415,8696,58710,35141,08364,55972,457451,9135,522,72938,659,10360,750,019425,250,133
-1-7-11-77-941-5,869-6,587-10,351-41,083-64,559-72,457-451,913-5,522,729-38,659,103-60,750,019-425,250,133

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