Q: What are the factor combinations of the number 32,728,421?

 A:
Positive:   1 x 3272842111 x 297531159 x 554719211 x 155111239 x 136939649 x 504292321 x 141012629 x 12449
Negative: -1 x -32728421-11 x -2975311-59 x -554719-211 x -155111-239 x -136939-649 x -50429-2321 x -14101-2629 x -12449


How do I find the factor combinations of the number 32,728,421?

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 32,728,421, 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 32,728,421
-1 -32,728,421

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 32,728,421.

Example:
1 x 32,728,421 = 32,728,421
and
-1 x -32,728,421 = 32,728,421
Notice both answers equal 32,728,421

With that explanation out of the way, let's continue. Next, we take the number 32,728,421 and divide it by 2:

32,728,421 ÷ 2 = 16,364,210.5

If the quotient is a whole number, then 2 and 16,364,210.5 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 32,728,421
-1 -32,728,421

Now, we try dividing 32,728,421 by 3:

32,728,421 ÷ 3 = 10,909,473.6667

If the quotient is a whole number, then 3 and 10,909,473.6667 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 32,728,421
-1 -32,728,421

Let's try dividing by 4:

32,728,421 ÷ 4 = 8,182,105.25

If the quotient is a whole number, then 4 and 8,182,105.25 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 32,728,421
-1 32,728,421
Keep dividing by the next highest number until you cannot divide anymore.

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

111592112396492,3212,62912,44914,10150,429136,939155,111554,7192,975,31132,728,421
-1-11-59-211-239-649-2,321-2,629-12,449-14,101-50,429-136,939-155,111-554,719-2,975,311-32,728,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,728,421:


Ask a Question