Q: What are the factor combinations of the number 425,222,021?

 A:
Positive:   1 x 4252220217 x 6074600353 x 8023057371 x 1146151433 x 9820372647 x 1606433031 x 14029118529 x 22949
Negative: -1 x -425222021-7 x -60746003-53 x -8023057-371 x -1146151-433 x -982037-2647 x -160643-3031 x -140291-18529 x -22949


How do I find the factor combinations of the number 425,222,021?

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 425,222,021, 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.

1 425,222,021
-1 -425,222,021

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 425,222,021.

Example:
1 x 425,222,021 = 425,222,021
and
-1 x -425,222,021 = 425,222,021
Notice both answers equal 425,222,021

With that explanation out of the way, let's continue. Next, we take the number 425,222,021 and divide it by 2:

425,222,021 ÷ 2 = 212,611,010.5

If the quotient is a whole number, then 2 and 212,611,010.5 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:

1 425,222,021
-1 -425,222,021

Now, we try dividing 425,222,021 by 3:

425,222,021 ÷ 3 = 141,740,673.6667

If the quotient is a whole number, then 3 and 141,740,673.6667 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:

1 425,222,021
-1 -425,222,021

Let's try dividing by 4:

425,222,021 ÷ 4 = 106,305,505.25

If the quotient is a whole number, then 4 and 106,305,505.25 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:

1 425,222,021
-1 425,222,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17533714332,6473,03118,52922,949140,291160,643982,0371,146,1518,023,05760,746,003425,222,021
-1-7-53-371-433-2,647-3,031-18,529-22,949-140,291-160,643-982,037-1,146,151-8,023,057-60,746,003-425,222,021

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