Q: What are the factor combinations of the number 32,624,183?

 A:
Positive:   1 x 3262418331 x 1052393691 x 472131523 x 21421
Negative: -1 x -32624183-31 x -1052393-691 x -47213-1523 x -21421


How do I find the factor combinations of the number 32,624,183?

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 32,624,183, 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 32,624,183
-1 -32,624,183

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 32,624,183.

Example:
1 x 32,624,183 = 32,624,183
and
-1 x -32,624,183 = 32,624,183
Notice both answers equal 32,624,183

With that explanation out of the way, let's continue. Next, we take the number 32,624,183 and divide it by 2:

32,624,183 ÷ 2 = 16,312,091.5

If the quotient is a whole number, then 2 and 16,312,091.5 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 32,624,183
-1 -32,624,183

Now, we try dividing 32,624,183 by 3:

32,624,183 ÷ 3 = 10,874,727.6667

If the quotient is a whole number, then 3 and 10,874,727.6667 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 32,624,183
-1 -32,624,183

Let's try dividing by 4:

32,624,183 ÷ 4 = 8,156,045.75

If the quotient is a whole number, then 4 and 8,156,045.75 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 32,624,183
-1 32,624,183
Keep dividing by the next highest number until you cannot divide anymore.

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

1316911,52321,42147,2131,052,39332,624,183
-1-31-691-1,523-21,421-47,213-1,052,393-32,624,183

More Examples

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