Q: What are the factor combinations of the number 32,402,435?

 A:
Positive:   1 x 324024355 x 648048713 x 249249543 x 75354565 x 498499215 x 150709559 x 579652795 x 11593
Negative: -1 x -32402435-5 x -6480487-13 x -2492495-43 x -753545-65 x -498499-215 x -150709-559 x -57965-2795 x -11593


How do I find the factor combinations of the number 32,402,435?

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 32,402,435, 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 32,402,435
-1 -32,402,435

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 32,402,435.

Example:
1 x 32,402,435 = 32,402,435
and
-1 x -32,402,435 = 32,402,435
Notice both answers equal 32,402,435

With that explanation out of the way, let's continue. Next, we take the number 32,402,435 and divide it by 2:

32,402,435 ÷ 2 = 16,201,217.5

If the quotient is a whole number, then 2 and 16,201,217.5 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 32,402,435
-1 -32,402,435

Now, we try dividing 32,402,435 by 3:

32,402,435 ÷ 3 = 10,800,811.6667

If the quotient is a whole number, then 3 and 10,800,811.6667 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 32,402,435
-1 -32,402,435

Let's try dividing by 4:

32,402,435 ÷ 4 = 8,100,608.75

If the quotient is a whole number, then 4 and 8,100,608.75 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 32,402,435
-1 32,402,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,79511,59357,965150,709498,499753,5452,492,4956,480,48732,402,435
-1-5-13-43-65-215-559-2,795-11,593-57,965-150,709-498,499-753,545-2,492,495-6,480,487-32,402,435

More Examples

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