Q: What are the factor combinations of the number 3,827,725?

 A:
Positive:   1 x 38277255 x 76554511 x 34797525 x 15310931 x 12347555 x 69595155 x 24695275 x 13919341 x 11225449 x 8525775 x 49391705 x 2245
Negative: -1 x -3827725-5 x -765545-11 x -347975-25 x -153109-31 x -123475-55 x -69595-155 x -24695-275 x -13919-341 x -11225-449 x -8525-775 x -4939-1705 x -2245


How do I find the factor combinations of the number 3,827,725?

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 3,827,725, 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 3,827,725
-1 -3,827,725

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 3,827,725.

Example:
1 x 3,827,725 = 3,827,725
and
-1 x -3,827,725 = 3,827,725
Notice both answers equal 3,827,725

With that explanation out of the way, let's continue. Next, we take the number 3,827,725 and divide it by 2:

3,827,725 ÷ 2 = 1,913,862.5

If the quotient is a whole number, then 2 and 1,913,862.5 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 3,827,725
-1 -3,827,725

Now, we try dividing 3,827,725 by 3:

3,827,725 ÷ 3 = 1,275,908.3333

If the quotient is a whole number, then 3 and 1,275,908.3333 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 3,827,725
-1 -3,827,725

Let's try dividing by 4:

3,827,725 ÷ 4 = 956,931.25

If the quotient is a whole number, then 4 and 956,931.25 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 3,827,725
-1 3,827,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551552753414497751,7052,2454,9398,52511,22513,91924,69569,595123,475153,109347,975765,5453,827,725
-1-5-11-25-31-55-155-275-341-449-775-1,705-2,245-4,939-8,525-11,225-13,919-24,695-69,595-123,475-153,109-347,975-765,545-3,827,725

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