Q: What are the factor combinations of the number 32,343,199?

 A:
Positive:   1 x 323431997 x 462045731 x 1043329113 x 286223217 x 149047791 x 408891319 x 245213503 x 9233
Negative: -1 x -32343199-7 x -4620457-31 x -1043329-113 x -286223-217 x -149047-791 x -40889-1319 x -24521-3503 x -9233


How do I find the factor combinations of the number 32,343,199?

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 32,343,199, 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 32,343,199
-1 -32,343,199

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 32,343,199.

Example:
1 x 32,343,199 = 32,343,199
and
-1 x -32,343,199 = 32,343,199
Notice both answers equal 32,343,199

With that explanation out of the way, let's continue. Next, we take the number 32,343,199 and divide it by 2:

32,343,199 ÷ 2 = 16,171,599.5

If the quotient is a whole number, then 2 and 16,171,599.5 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 32,343,199
-1 -32,343,199

Now, we try dividing 32,343,199 by 3:

32,343,199 ÷ 3 = 10,781,066.3333

If the quotient is a whole number, then 3 and 10,781,066.3333 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 32,343,199
-1 -32,343,199

Let's try dividing by 4:

32,343,199 ÷ 4 = 8,085,799.75

If the quotient is a whole number, then 4 and 8,085,799.75 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 32,343,199
-1 32,343,199
Keep dividing by the next highest number until you cannot divide anymore.

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

17311132177911,3193,5039,23324,52140,889149,047286,2231,043,3294,620,45732,343,199
-1-7-31-113-217-791-1,319-3,503-9,233-24,521-40,889-149,047-286,223-1,043,329-4,620,457-32,343,199

More Examples

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