Q: What are the factor combinations of the number 3,212,375?

 A:
Positive:   1 x 32123755 x 64247525 x 12849531 x 103625125 x 25699155 x 20725775 x 4145829 x 3875
Negative: -1 x -3212375-5 x -642475-25 x -128495-31 x -103625-125 x -25699-155 x -20725-775 x -4145-829 x -3875


How do I find the factor combinations of the number 3,212,375?

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 3,212,375, 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 3,212,375
-1 -3,212,375

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 3,212,375.

Example:
1 x 3,212,375 = 3,212,375
and
-1 x -3,212,375 = 3,212,375
Notice both answers equal 3,212,375

With that explanation out of the way, let's continue. Next, we take the number 3,212,375 and divide it by 2:

3,212,375 ÷ 2 = 1,606,187.5

If the quotient is a whole number, then 2 and 1,606,187.5 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 3,212,375
-1 -3,212,375

Now, we try dividing 3,212,375 by 3:

3,212,375 ÷ 3 = 1,070,791.6667

If the quotient is a whole number, then 3 and 1,070,791.6667 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 3,212,375
-1 -3,212,375

Let's try dividing by 4:

3,212,375 ÷ 4 = 803,093.75

If the quotient is a whole number, then 4 and 803,093.75 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 3,212,375
-1 3,212,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557758293,8754,14520,72525,699103,625128,495642,4753,212,375
-1-5-25-31-125-155-775-829-3,875-4,145-20,725-25,699-103,625-128,495-642,475-3,212,375

More Examples

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