Q: What are the factor combinations of the number 32,244,023?

 A:
Positive:   1 x 322440237 x 460628943 x 749861301 x 107123
Negative: -1 x -32244023-7 x -4606289-43 x -749861-301 x -107123


How do I find the factor combinations of the number 32,244,023?

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 32,244,023, 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 32,244,023
-1 -32,244,023

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 32,244,023.

Example:
1 x 32,244,023 = 32,244,023
and
-1 x -32,244,023 = 32,244,023
Notice both answers equal 32,244,023

With that explanation out of the way, let's continue. Next, we take the number 32,244,023 and divide it by 2:

32,244,023 ÷ 2 = 16,122,011.5

If the quotient is a whole number, then 2 and 16,122,011.5 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 32,244,023
-1 -32,244,023

Now, we try dividing 32,244,023 by 3:

32,244,023 ÷ 3 = 10,748,007.6667

If the quotient is a whole number, then 3 and 10,748,007.6667 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 32,244,023
-1 -32,244,023

Let's try dividing by 4:

32,244,023 ÷ 4 = 8,061,005.75

If the quotient is a whole number, then 4 and 8,061,005.75 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 32,244,023
-1 32,244,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1743301107,123749,8614,606,28932,244,023
-1-7-43-301-107,123-749,861-4,606,289-32,244,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,244,023:


Ask a Question