Q: What are the factor combinations of the number 32,737,441?

 A:
Positive:   1 x 3273744111 x 297613123 x 142336783 x 394427253 x 129397913 x 358571559 x 209991909 x 17149
Negative: -1 x -32737441-11 x -2976131-23 x -1423367-83 x -394427-253 x -129397-913 x -35857-1559 x -20999-1909 x -17149


How do I find the factor combinations of the number 32,737,441?

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 32,737,441, 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 32,737,441
-1 -32,737,441

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 32,737,441.

Example:
1 x 32,737,441 = 32,737,441
and
-1 x -32,737,441 = 32,737,441
Notice both answers equal 32,737,441

With that explanation out of the way, let's continue. Next, we take the number 32,737,441 and divide it by 2:

32,737,441 ÷ 2 = 16,368,720.5

If the quotient is a whole number, then 2 and 16,368,720.5 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 32,737,441
-1 -32,737,441

Now, we try dividing 32,737,441 by 3:

32,737,441 ÷ 3 = 10,912,480.3333

If the quotient is a whole number, then 3 and 10,912,480.3333 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 32,737,441
-1 -32,737,441

Let's try dividing by 4:

32,737,441 ÷ 4 = 8,184,360.25

If the quotient is a whole number, then 4 and 8,184,360.25 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 32,737,441
-1 32,737,441
Keep dividing by the next highest number until you cannot divide anymore.

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

11123832539131,5591,90917,14920,99935,857129,397394,4271,423,3672,976,13132,737,441
-1-11-23-83-253-913-1,559-1,909-17,149-20,999-35,857-129,397-394,427-1,423,367-2,976,131-32,737,441

More Examples

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