Q: What are the factor combinations of the number 3,560,425?

 A:
Positive:   1 x 35604255 x 71208511 x 32367525 x 14241755 x 64735107 x 33275121 x 29425275 x 12947535 x 6655605 x 58851177 x 30251331 x 2675
Negative: -1 x -3560425-5 x -712085-11 x -323675-25 x -142417-55 x -64735-107 x -33275-121 x -29425-275 x -12947-535 x -6655-605 x -5885-1177 x -3025-1331 x -2675


How do I find the factor combinations of the number 3,560,425?

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 3,560,425, 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 3,560,425
-1 -3,560,425

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 3,560,425.

Example:
1 x 3,560,425 = 3,560,425
and
-1 x -3,560,425 = 3,560,425
Notice both answers equal 3,560,425

With that explanation out of the way, let's continue. Next, we take the number 3,560,425 and divide it by 2:

3,560,425 ÷ 2 = 1,780,212.5

If the quotient is a whole number, then 2 and 1,780,212.5 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 3,560,425
-1 -3,560,425

Now, we try dividing 3,560,425 by 3:

3,560,425 ÷ 3 = 1,186,808.3333

If the quotient is a whole number, then 3 and 1,186,808.3333 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 3,560,425
-1 -3,560,425

Let's try dividing by 4:

3,560,425 ÷ 4 = 890,106.25

If the quotient is a whole number, then 4 and 890,106.25 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 3,560,425
-1 3,560,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551071212755356051,1771,3312,6753,0255,8856,65512,94729,42533,27564,735142,417323,675712,0853,560,425
-1-5-11-25-55-107-121-275-535-605-1,177-1,331-2,675-3,025-5,885-6,655-12,947-29,425-33,275-64,735-142,417-323,675-712,085-3,560,425

More Examples

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