Q: What are the factor combinations of the number 32,971,565?

 A:
Positive:   1 x 329715655 x 659431311 x 299741553 x 62210555 x 599483265 x 124421583 x 565552915 x 11311
Negative: -1 x -32971565-5 x -6594313-11 x -2997415-53 x -622105-55 x -599483-265 x -124421-583 x -56555-2915 x -11311


How do I find the factor combinations of the number 32,971,565?

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 32,971,565, 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 32,971,565
-1 -32,971,565

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 32,971,565.

Example:
1 x 32,971,565 = 32,971,565
and
-1 x -32,971,565 = 32,971,565
Notice both answers equal 32,971,565

With that explanation out of the way, let's continue. Next, we take the number 32,971,565 and divide it by 2:

32,971,565 ÷ 2 = 16,485,782.5

If the quotient is a whole number, then 2 and 16,485,782.5 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 32,971,565
-1 -32,971,565

Now, we try dividing 32,971,565 by 3:

32,971,565 ÷ 3 = 10,990,521.6667

If the quotient is a whole number, then 3 and 10,990,521.6667 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 32,971,565
-1 -32,971,565

Let's try dividing by 4:

32,971,565 ÷ 4 = 8,242,891.25

If the quotient is a whole number, then 4 and 8,242,891.25 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 32,971,565
-1 32,971,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151153552655832,91511,31156,555124,421599,483622,1052,997,4156,594,31332,971,565
-1-5-11-53-55-265-583-2,915-11,311-56,555-124,421-599,483-622,105-2,997,415-6,594,313-32,971,565

More Examples

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