Q: What are the factor combinations of the number 32,424,235?

 A:
Positive:   1 x 324242355 x 648484741 x 790835205 x 158167277 x 117055571 x 567851385 x 234112855 x 11357
Negative: -1 x -32424235-5 x -6484847-41 x -790835-205 x -158167-277 x -117055-571 x -56785-1385 x -23411-2855 x -11357


How do I find the factor combinations of the number 32,424,235?

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 32,424,235, 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 32,424,235
-1 -32,424,235

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 32,424,235.

Example:
1 x 32,424,235 = 32,424,235
and
-1 x -32,424,235 = 32,424,235
Notice both answers equal 32,424,235

With that explanation out of the way, let's continue. Next, we take the number 32,424,235 and divide it by 2:

32,424,235 ÷ 2 = 16,212,117.5

If the quotient is a whole number, then 2 and 16,212,117.5 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 32,424,235
-1 -32,424,235

Now, we try dividing 32,424,235 by 3:

32,424,235 ÷ 3 = 10,808,078.3333

If the quotient is a whole number, then 3 and 10,808,078.3333 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 32,424,235
-1 -32,424,235

Let's try dividing by 4:

32,424,235 ÷ 4 = 8,106,058.75

If the quotient is a whole number, then 4 and 8,106,058.75 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 32,424,235
-1 32,424,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052775711,3852,85511,35723,41156,785117,055158,167790,8356,484,84732,424,235
-1-5-41-205-277-571-1,385-2,855-11,357-23,411-56,785-117,055-158,167-790,835-6,484,847-32,424,235

More Examples

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