Q: What are the factor combinations of the number 8,594,425?

 A:
Positive:   1 x 85944255 x 17188857 x 122777525 x 34377735 x 24555567 x 128275175 x 49111335 x 25655469 x 18325733 x 117251675 x 51312345 x 3665
Negative: -1 x -8594425-5 x -1718885-7 x -1227775-25 x -343777-35 x -245555-67 x -128275-175 x -49111-335 x -25655-469 x -18325-733 x -11725-1675 x -5131-2345 x -3665


How do I find the factor combinations of the number 8,594,425?

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 8,594,425, 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 8,594,425
-1 -8,594,425

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 8,594,425.

Example:
1 x 8,594,425 = 8,594,425
and
-1 x -8,594,425 = 8,594,425
Notice both answers equal 8,594,425

With that explanation out of the way, let's continue. Next, we take the number 8,594,425 and divide it by 2:

8,594,425 ÷ 2 = 4,297,212.5

If the quotient is a whole number, then 2 and 4,297,212.5 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 8,594,425
-1 -8,594,425

Now, we try dividing 8,594,425 by 3:

8,594,425 ÷ 3 = 2,864,808.3333

If the quotient is a whole number, then 3 and 2,864,808.3333 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 8,594,425
-1 -8,594,425

Let's try dividing by 4:

8,594,425 ÷ 4 = 2,148,606.25

If the quotient is a whole number, then 4 and 2,148,606.25 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 8,594,425
-1 8,594,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671753354697331,6752,3453,6655,13111,72518,32525,65549,111128,275245,555343,7771,227,7751,718,8858,594,425
-1-5-7-25-35-67-175-335-469-733-1,675-2,345-3,665-5,131-11,725-18,325-25,655-49,111-128,275-245,555-343,777-1,227,775-1,718,885-8,594,425

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