Q: What are the factor combinations of the number 32,341,309?

 A:
Positive:   1 x 323413097 x 462018711 x 294011913 x 248779377 x 42001791 x 355399143 x 2261631001 x 32309
Negative: -1 x -32341309-7 x -4620187-11 x -2940119-13 x -2487793-77 x -420017-91 x -355399-143 x -226163-1001 x -32309


How do I find the factor combinations of the number 32,341,309?

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 32,341,309, 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 32,341,309
-1 -32,341,309

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 32,341,309.

Example:
1 x 32,341,309 = 32,341,309
and
-1 x -32,341,309 = 32,341,309
Notice both answers equal 32,341,309

With that explanation out of the way, let's continue. Next, we take the number 32,341,309 and divide it by 2:

32,341,309 ÷ 2 = 16,170,654.5

If the quotient is a whole number, then 2 and 16,170,654.5 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 32,341,309
-1 -32,341,309

Now, we try dividing 32,341,309 by 3:

32,341,309 ÷ 3 = 10,780,436.3333

If the quotient is a whole number, then 3 and 10,780,436.3333 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 32,341,309
-1 -32,341,309

Let's try dividing by 4:

32,341,309 ÷ 4 = 8,085,327.25

If the quotient is a whole number, then 4 and 8,085,327.25 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 32,341,309
-1 32,341,309
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,00132,309226,163355,399420,0172,487,7932,940,1194,620,18732,341,309
-1-7-11-13-77-91-143-1,001-32,309-226,163-355,399-420,017-2,487,793-2,940,119-4,620,187-32,341,309

More Examples

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