Q: What are the factor combinations of the number 8,372,345?

 A:
Positive:   1 x 83723455 x 167446923 x 36401547 x 178135115 x 72803235 x 356271081 x 77451549 x 5405
Negative: -1 x -8372345-5 x -1674469-23 x -364015-47 x -178135-115 x -72803-235 x -35627-1081 x -7745-1549 x -5405


How do I find the factor combinations of the number 8,372,345?

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 8,372,345, 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 8,372,345
-1 -8,372,345

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 8,372,345.

Example:
1 x 8,372,345 = 8,372,345
and
-1 x -8,372,345 = 8,372,345
Notice both answers equal 8,372,345

With that explanation out of the way, let's continue. Next, we take the number 8,372,345 and divide it by 2:

8,372,345 ÷ 2 = 4,186,172.5

If the quotient is a whole number, then 2 and 4,186,172.5 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 8,372,345
-1 -8,372,345

Now, we try dividing 8,372,345 by 3:

8,372,345 ÷ 3 = 2,790,781.6667

If the quotient is a whole number, then 3 and 2,790,781.6667 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 8,372,345
-1 -8,372,345

Let's try dividing by 4:

8,372,345 ÷ 4 = 2,093,086.25

If the quotient is a whole number, then 4 and 2,093,086.25 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 8,372,345
-1 8,372,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0811,5495,4057,74535,62772,803178,135364,0151,674,4698,372,345
-1-5-23-47-115-235-1,081-1,549-5,405-7,745-35,627-72,803-178,135-364,015-1,674,469-8,372,345

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