Q: What are the factor combinations of the number 32,401,435?

 A:
Positive:   1 x 324014355 x 648028711 x 294558555 x 589117577 x 561551021 x 317352885 x 112315105 x 6347
Negative: -1 x -32401435-5 x -6480287-11 x -2945585-55 x -589117-577 x -56155-1021 x -31735-2885 x -11231-5105 x -6347


How do I find the factor combinations of the number 32,401,435?

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 32,401,435, 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 32,401,435
-1 -32,401,435

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 32,401,435.

Example:
1 x 32,401,435 = 32,401,435
and
-1 x -32,401,435 = 32,401,435
Notice both answers equal 32,401,435

With that explanation out of the way, let's continue. Next, we take the number 32,401,435 and divide it by 2:

32,401,435 ÷ 2 = 16,200,717.5

If the quotient is a whole number, then 2 and 16,200,717.5 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 32,401,435
-1 -32,401,435

Now, we try dividing 32,401,435 by 3:

32,401,435 ÷ 3 = 10,800,478.3333

If the quotient is a whole number, then 3 and 10,800,478.3333 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 32,401,435
-1 -32,401,435

Let's try dividing by 4:

32,401,435 ÷ 4 = 8,100,358.75

If the quotient is a whole number, then 4 and 8,100,358.75 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 32,401,435
-1 32,401,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555771,0212,8855,1056,34711,23131,73556,155589,1172,945,5856,480,28732,401,435
-1-5-11-55-577-1,021-2,885-5,105-6,347-11,231-31,735-56,155-589,117-2,945,585-6,480,287-32,401,435

More Examples

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