Q: What are the factor combinations of the number 8,335,525?

 A:
Positive:   1 x 83355255 x 166710511 x 75777517 x 49032525 x 33342155 x 15155585 x 98065187 x 44575275 x 30311425 x 19613935 x 89151783 x 4675
Negative: -1 x -8335525-5 x -1667105-11 x -757775-17 x -490325-25 x -333421-55 x -151555-85 x -98065-187 x -44575-275 x -30311-425 x -19613-935 x -8915-1783 x -4675


How do I find the factor combinations of the number 8,335,525?

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 8,335,525, 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 8,335,525
-1 -8,335,525

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 8,335,525.

Example:
1 x 8,335,525 = 8,335,525
and
-1 x -8,335,525 = 8,335,525
Notice both answers equal 8,335,525

With that explanation out of the way, let's continue. Next, we take the number 8,335,525 and divide it by 2:

8,335,525 ÷ 2 = 4,167,762.5

If the quotient is a whole number, then 2 and 4,167,762.5 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 8,335,525
-1 -8,335,525

Now, we try dividing 8,335,525 by 3:

8,335,525 ÷ 3 = 2,778,508.3333

If the quotient is a whole number, then 3 and 2,778,508.3333 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 8,335,525
-1 -8,335,525

Let's try dividing by 4:

8,335,525 ÷ 4 = 2,083,881.25

If the quotient is a whole number, then 4 and 2,083,881.25 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 8,335,525
-1 8,335,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259351,7834,6758,91519,61330,31144,57598,065151,555333,421490,325757,7751,667,1058,335,525
-1-5-11-17-25-55-85-187-275-425-935-1,783-4,675-8,915-19,613-30,311-44,575-98,065-151,555-333,421-490,325-757,775-1,667,105-8,335,525

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