Q: What are the factor combinations of the number 322,112,525?

 A:
Positive:   1 x 3221125255 x 644225057 x 4601607525 x 1288450135 x 920321549 x 6573725175 x 1840643245 x 13147451225 x 262949
Negative: -1 x -322112525-5 x -64422505-7 x -46016075-25 x -12884501-35 x -9203215-49 x -6573725-175 x -1840643-245 x -1314745-1225 x -262949


How do I find the factor combinations of the number 322,112,525?

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 322,112,525, 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.

1 322,112,525
-1 -322,112,525

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 322,112,525.

Example:
1 x 322,112,525 = 322,112,525
and
-1 x -322,112,525 = 322,112,525
Notice both answers equal 322,112,525

With that explanation out of the way, let's continue. Next, we take the number 322,112,525 and divide it by 2:

322,112,525 ÷ 2 = 161,056,262.5

If the quotient is a whole number, then 2 and 161,056,262.5 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:

1 322,112,525
-1 -322,112,525

Now, we try dividing 322,112,525 by 3:

322,112,525 ÷ 3 = 107,370,841.6667

If the quotient is a whole number, then 3 and 107,370,841.6667 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:

1 322,112,525
-1 -322,112,525

Let's try dividing by 4:

322,112,525 ÷ 4 = 80,528,131.25

If the quotient is a whole number, then 4 and 80,528,131.25 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:

1 322,112,525
-1 322,112,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225262,9491,314,7451,840,6436,573,7259,203,21512,884,50146,016,07564,422,505322,112,525
-1-5-7-25-35-49-175-245-1,225-262,949-1,314,745-1,840,643-6,573,725-9,203,215-12,884,501-46,016,075-64,422,505-322,112,525

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