Q: What are the factor combinations of the number 8,423,485?

 A:
Positive:   1 x 84234855 x 16846977 x 120335529 x 29046535 x 24067143 x 195895145 x 58093193 x 43645203 x 41495215 x 39179301 x 27985965 x 87291015 x 82991247 x 67551351 x 62351505 x 5597
Negative: -1 x -8423485-5 x -1684697-7 x -1203355-29 x -290465-35 x -240671-43 x -195895-145 x -58093-193 x -43645-203 x -41495-215 x -39179-301 x -27985-965 x -8729-1015 x -8299-1247 x -6755-1351 x -6235-1505 x -5597


How do I find the factor combinations of the number 8,423,485?

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 8,423,485, 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 8,423,485
-1 -8,423,485

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 8,423,485.

Example:
1 x 8,423,485 = 8,423,485
and
-1 x -8,423,485 = 8,423,485
Notice both answers equal 8,423,485

With that explanation out of the way, let's continue. Next, we take the number 8,423,485 and divide it by 2:

8,423,485 ÷ 2 = 4,211,742.5

If the quotient is a whole number, then 2 and 4,211,742.5 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 8,423,485
-1 -8,423,485

Now, we try dividing 8,423,485 by 3:

8,423,485 ÷ 3 = 2,807,828.3333

If the quotient is a whole number, then 3 and 2,807,828.3333 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 8,423,485
-1 -8,423,485

Let's try dividing by 4:

8,423,485 ÷ 4 = 2,105,871.25

If the quotient is a whole number, then 4 and 2,105,871.25 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 8,423,485
-1 8,423,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1572935431451932032153019651,0151,2471,3511,5055,5976,2356,7558,2998,72927,98539,17941,49543,64558,093195,895240,671290,4651,203,3551,684,6978,423,485
-1-5-7-29-35-43-145-193-203-215-301-965-1,015-1,247-1,351-1,505-5,597-6,235-6,755-8,299-8,729-27,985-39,179-41,495-43,645-58,093-195,895-240,671-290,465-1,203,355-1,684,697-8,423,485

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