Q: What are the factor combinations of the number 32,639,555?

 A:
Positive:   1 x 326395555 x 652791113 x 251073565 x 502147281 x 1161551405 x 232311787 x 182653653 x 8935
Negative: -1 x -32639555-5 x -6527911-13 x -2510735-65 x -502147-281 x -116155-1405 x -23231-1787 x -18265-3653 x -8935


How do I find the factor combinations of the number 32,639,555?

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 32,639,555, 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 32,639,555
-1 -32,639,555

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 32,639,555.

Example:
1 x 32,639,555 = 32,639,555
and
-1 x -32,639,555 = 32,639,555
Notice both answers equal 32,639,555

With that explanation out of the way, let's continue. Next, we take the number 32,639,555 and divide it by 2:

32,639,555 ÷ 2 = 16,319,777.5

If the quotient is a whole number, then 2 and 16,319,777.5 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 32,639,555
-1 -32,639,555

Now, we try dividing 32,639,555 by 3:

32,639,555 ÷ 3 = 10,879,851.6667

If the quotient is a whole number, then 3 and 10,879,851.6667 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 32,639,555
-1 -32,639,555

Let's try dividing by 4:

32,639,555 ÷ 4 = 8,159,888.75

If the quotient is a whole number, then 4 and 8,159,888.75 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 32,639,555
-1 32,639,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652811,4051,7873,6538,93518,26523,231116,155502,1472,510,7356,527,91132,639,555
-1-5-13-65-281-1,405-1,787-3,653-8,935-18,265-23,231-116,155-502,147-2,510,735-6,527,911-32,639,555

More Examples

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