Q: What are the factor combinations of the number 32,443,229?

 A:
Positive:   1 x 324432297 x 463474713 x 249563391 x 356519541 x 59969659 x 492313787 x 85674613 x 7033
Negative: -1 x -32443229-7 x -4634747-13 x -2495633-91 x -356519-541 x -59969-659 x -49231-3787 x -8567-4613 x -7033


How do I find the factor combinations of the number 32,443,229?

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 32,443,229, 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 32,443,229
-1 -32,443,229

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 32,443,229.

Example:
1 x 32,443,229 = 32,443,229
and
-1 x -32,443,229 = 32,443,229
Notice both answers equal 32,443,229

With that explanation out of the way, let's continue. Next, we take the number 32,443,229 and divide it by 2:

32,443,229 ÷ 2 = 16,221,614.5

If the quotient is a whole number, then 2 and 16,221,614.5 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 32,443,229
-1 -32,443,229

Now, we try dividing 32,443,229 by 3:

32,443,229 ÷ 3 = 10,814,409.6667

If the quotient is a whole number, then 3 and 10,814,409.6667 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 32,443,229
-1 -32,443,229

Let's try dividing by 4:

32,443,229 ÷ 4 = 8,110,807.25

If the quotient is a whole number, then 4 and 8,110,807.25 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 32,443,229
-1 32,443,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915416593,7874,6137,0338,56749,23159,969356,5192,495,6334,634,74732,443,229
-1-7-13-91-541-659-3,787-4,613-7,033-8,567-49,231-59,969-356,519-2,495,633-4,634,747-32,443,229

More Examples

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