Q: What are the factor combinations of the number 3,240,025?

 A:
Positive:   1 x 32400255 x 64800525 x 12960129 x 11172541 x 79025109 x 29725145 x 22345205 x 15805545 x 5945725 x 44691025 x 31611189 x 2725
Negative: -1 x -3240025-5 x -648005-25 x -129601-29 x -111725-41 x -79025-109 x -29725-145 x -22345-205 x -15805-545 x -5945-725 x -4469-1025 x -3161-1189 x -2725


How do I find the factor combinations of the number 3,240,025?

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 3,240,025, 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 3,240,025
-1 -3,240,025

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 3,240,025.

Example:
1 x 3,240,025 = 3,240,025
and
-1 x -3,240,025 = 3,240,025
Notice both answers equal 3,240,025

With that explanation out of the way, let's continue. Next, we take the number 3,240,025 and divide it by 2:

3,240,025 ÷ 2 = 1,620,012.5

If the quotient is a whole number, then 2 and 1,620,012.5 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 3,240,025
-1 -3,240,025

Now, we try dividing 3,240,025 by 3:

3,240,025 ÷ 3 = 1,080,008.3333

If the quotient is a whole number, then 3 and 1,080,008.3333 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 3,240,025
-1 -3,240,025

Let's try dividing by 4:

3,240,025 ÷ 4 = 810,006.25

If the quotient is a whole number, then 4 and 810,006.25 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 3,240,025
-1 3,240,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152529411091452055457251,0251,1892,7253,1614,4695,94515,80522,34529,72579,025111,725129,601648,0053,240,025
-1-5-25-29-41-109-145-205-545-725-1,025-1,189-2,725-3,161-4,469-5,945-15,805-22,345-29,725-79,025-111,725-129,601-648,005-3,240,025

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