Q: What are the factor combinations of the number 425,032,111?

 A:
Positive:   1 x 4250321117 x 6071887323 x 18479657161 x 2639951467 x 9101333269 x 1300195653 x 7518710741 x 39571
Negative: -1 x -425032111-7 x -60718873-23 x -18479657-161 x -2639951-467 x -910133-3269 x -130019-5653 x -75187-10741 x -39571


How do I find the factor combinations of the number 425,032,111?

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 425,032,111, 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.

1 425,032,111
-1 -425,032,111

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 425,032,111.

Example:
1 x 425,032,111 = 425,032,111
and
-1 x -425,032,111 = 425,032,111
Notice both answers equal 425,032,111

With that explanation out of the way, let's continue. Next, we take the number 425,032,111 and divide it by 2:

425,032,111 ÷ 2 = 212,516,055.5

If the quotient is a whole number, then 2 and 212,516,055.5 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:

1 425,032,111
-1 -425,032,111

Now, we try dividing 425,032,111 by 3:

425,032,111 ÷ 3 = 141,677,370.3333

If the quotient is a whole number, then 3 and 141,677,370.3333 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:

1 425,032,111
-1 -425,032,111

Let's try dividing by 4:

425,032,111 ÷ 4 = 106,258,027.75

If the quotient is a whole number, then 4 and 106,258,027.75 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:

1 425,032,111
-1 425,032,111
Keep dividing by the next highest number until you cannot divide anymore.

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

17231614673,2695,65310,74139,57175,187130,019910,1332,639,95118,479,65760,718,873425,032,111
-1-7-23-161-467-3,269-5,653-10,741-39,571-75,187-130,019-910,133-2,639,951-18,479,657-60,718,873-425,032,111

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