Q: What are the factor combinations of the number 8,630,825?

 A:
Positive:   1 x 86308255 x 17261657 x 123297525 x 34523335 x 246595149 x 57925175 x 49319331 x 26075745 x 115851043 x 82751655 x 52152317 x 3725
Negative: -1 x -8630825-5 x -1726165-7 x -1232975-25 x -345233-35 x -246595-149 x -57925-175 x -49319-331 x -26075-745 x -11585-1043 x -8275-1655 x -5215-2317 x -3725


How do I find the factor combinations of the number 8,630,825?

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 8,630,825, 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 8,630,825
-1 -8,630,825

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 8,630,825.

Example:
1 x 8,630,825 = 8,630,825
and
-1 x -8,630,825 = 8,630,825
Notice both answers equal 8,630,825

With that explanation out of the way, let's continue. Next, we take the number 8,630,825 and divide it by 2:

8,630,825 ÷ 2 = 4,315,412.5

If the quotient is a whole number, then 2 and 4,315,412.5 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 8,630,825
-1 -8,630,825

Now, we try dividing 8,630,825 by 3:

8,630,825 ÷ 3 = 2,876,941.6667

If the quotient is a whole number, then 3 and 2,876,941.6667 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 8,630,825
-1 -8,630,825

Let's try dividing by 4:

8,630,825 ÷ 4 = 2,157,706.25

If the quotient is a whole number, then 4 and 2,157,706.25 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 8,630,825
-1 8,630,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351491753317451,0431,6552,3173,7255,2158,27511,58526,07549,31957,925246,595345,2331,232,9751,726,1658,630,825
-1-5-7-25-35-149-175-331-745-1,043-1,655-2,317-3,725-5,215-8,275-11,585-26,075-49,319-57,925-246,595-345,233-1,232,975-1,726,165-8,630,825

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