Q: What are the factor combinations of the number 32,628,959?

 A:
Positive:   1 x 3262895911 x 296626943 x 758813101 x 323059473 x 68983683 x 477731111 x 293694343 x 7513
Negative: -1 x -32628959-11 x -2966269-43 x -758813-101 x -323059-473 x -68983-683 x -47773-1111 x -29369-4343 x -7513


How do I find the factor combinations of the number 32,628,959?

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 32,628,959, 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 32,628,959
-1 -32,628,959

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 32,628,959.

Example:
1 x 32,628,959 = 32,628,959
and
-1 x -32,628,959 = 32,628,959
Notice both answers equal 32,628,959

With that explanation out of the way, let's continue. Next, we take the number 32,628,959 and divide it by 2:

32,628,959 ÷ 2 = 16,314,479.5

If the quotient is a whole number, then 2 and 16,314,479.5 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 32,628,959
-1 -32,628,959

Now, we try dividing 32,628,959 by 3:

32,628,959 ÷ 3 = 10,876,319.6667

If the quotient is a whole number, then 3 and 10,876,319.6667 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 32,628,959
-1 -32,628,959

Let's try dividing by 4:

32,628,959 ÷ 4 = 8,157,239.75

If the quotient is a whole number, then 4 and 8,157,239.75 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 32,628,959
-1 32,628,959
Keep dividing by the next highest number until you cannot divide anymore.

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

111431014736831,1114,3437,51329,36947,77368,983323,059758,8132,966,26932,628,959
-1-11-43-101-473-683-1,111-4,343-7,513-29,369-47,773-68,983-323,059-758,813-2,966,269-32,628,959

More Examples

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