Q: What are the factor combinations of the number 32,243,345?

 A:
Positive:   1 x 322433455 x 644866953 x 608365265 x 121673281 x 114745433 x 744651405 x 229492165 x 14893
Negative: -1 x -32243345-5 x -6448669-53 x -608365-265 x -121673-281 x -114745-433 x -74465-1405 x -22949-2165 x -14893


How do I find the factor combinations of the number 32,243,345?

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 32,243,345, 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 32,243,345
-1 -32,243,345

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 32,243,345.

Example:
1 x 32,243,345 = 32,243,345
and
-1 x -32,243,345 = 32,243,345
Notice both answers equal 32,243,345

With that explanation out of the way, let's continue. Next, we take the number 32,243,345 and divide it by 2:

32,243,345 ÷ 2 = 16,121,672.5

If the quotient is a whole number, then 2 and 16,121,672.5 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 32,243,345
-1 -32,243,345

Now, we try dividing 32,243,345 by 3:

32,243,345 ÷ 3 = 10,747,781.6667

If the quotient is a whole number, then 3 and 10,747,781.6667 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 32,243,345
-1 -32,243,345

Let's try dividing by 4:

32,243,345 ÷ 4 = 8,060,836.25

If the quotient is a whole number, then 4 and 8,060,836.25 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 32,243,345
-1 32,243,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15532652814331,4052,16514,89322,94974,465114,745121,673608,3656,448,66932,243,345
-1-5-53-265-281-433-1,405-2,165-14,893-22,949-74,465-114,745-121,673-608,365-6,448,669-32,243,345

More Examples

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