Q: What are the factor combinations of the number 32,564,635?

 A:
Positive:   1 x 325646355 x 651292783 x 392345131 x 248585415 x 78469599 x 54365655 x 497172995 x 10873
Negative: -1 x -32564635-5 x -6512927-83 x -392345-131 x -248585-415 x -78469-599 x -54365-655 x -49717-2995 x -10873


How do I find the factor combinations of the number 32,564,635?

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 32,564,635, 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 32,564,635
-1 -32,564,635

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 32,564,635.

Example:
1 x 32,564,635 = 32,564,635
and
-1 x -32,564,635 = 32,564,635
Notice both answers equal 32,564,635

With that explanation out of the way, let's continue. Next, we take the number 32,564,635 and divide it by 2:

32,564,635 ÷ 2 = 16,282,317.5

If the quotient is a whole number, then 2 and 16,282,317.5 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 32,564,635
-1 -32,564,635

Now, we try dividing 32,564,635 by 3:

32,564,635 ÷ 3 = 10,854,878.3333

If the quotient is a whole number, then 3 and 10,854,878.3333 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 32,564,635
-1 -32,564,635

Let's try dividing by 4:

32,564,635 ÷ 4 = 8,141,158.75

If the quotient is a whole number, then 4 and 8,141,158.75 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 32,564,635
-1 32,564,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15831314155996552,99510,87349,71754,36578,469248,585392,3456,512,92732,564,635
-1-5-83-131-415-599-655-2,995-10,873-49,717-54,365-78,469-248,585-392,345-6,512,927-32,564,635

More Examples

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