Q: What are the factor combinations of the number 3,210,725?

 A:
Positive:   1 x 32107255 x 6421457 x 45867525 x 12842935 x 9173549 x 65525175 x 18347245 x 131051225 x 2621
Negative: -1 x -3210725-5 x -642145-7 x -458675-25 x -128429-35 x -91735-49 x -65525-175 x -18347-245 x -13105-1225 x -2621


How do I find the factor combinations of the number 3,210,725?

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 3,210,725, 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 3,210,725
-1 -3,210,725

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 3,210,725.

Example:
1 x 3,210,725 = 3,210,725
and
-1 x -3,210,725 = 3,210,725
Notice both answers equal 3,210,725

With that explanation out of the way, let's continue. Next, we take the number 3,210,725 and divide it by 2:

3,210,725 ÷ 2 = 1,605,362.5

If the quotient is a whole number, then 2 and 1,605,362.5 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 3,210,725
-1 -3,210,725

Now, we try dividing 3,210,725 by 3:

3,210,725 ÷ 3 = 1,070,241.6667

If the quotient is a whole number, then 3 and 1,070,241.6667 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 3,210,725
-1 -3,210,725

Let's try dividing by 4:

3,210,725 ÷ 4 = 802,681.25

If the quotient is a whole number, then 4 and 802,681.25 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 3,210,725
-1 3,210,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,2252,62113,10518,34765,52591,735128,429458,675642,1453,210,725
-1-5-7-25-35-49-175-245-1,225-2,621-13,105-18,347-65,525-91,735-128,429-458,675-642,145-3,210,725

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