Q: What are the factor combinations of the number 32,876,123?

 A:
Positive:   1 x 328761237 x 469658943 x 764561239 x 137557301 x 109223457 x 719391673 x 196513199 x 10277
Negative: -1 x -32876123-7 x -4696589-43 x -764561-239 x -137557-301 x -109223-457 x -71939-1673 x -19651-3199 x -10277


How do I find the factor combinations of the number 32,876,123?

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 32,876,123, 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 32,876,123
-1 -32,876,123

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 32,876,123.

Example:
1 x 32,876,123 = 32,876,123
and
-1 x -32,876,123 = 32,876,123
Notice both answers equal 32,876,123

With that explanation out of the way, let's continue. Next, we take the number 32,876,123 and divide it by 2:

32,876,123 ÷ 2 = 16,438,061.5

If the quotient is a whole number, then 2 and 16,438,061.5 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 32,876,123
-1 -32,876,123

Now, we try dividing 32,876,123 by 3:

32,876,123 ÷ 3 = 10,958,707.6667

If the quotient is a whole number, then 3 and 10,958,707.6667 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 32,876,123
-1 -32,876,123

Let's try dividing by 4:

32,876,123 ÷ 4 = 8,219,030.75

If the quotient is a whole number, then 4 and 8,219,030.75 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 32,876,123
-1 32,876,123
Keep dividing by the next highest number until you cannot divide anymore.

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

17432393014571,6733,19910,27719,65171,939109,223137,557764,5614,696,58932,876,123
-1-7-43-239-301-457-1,673-3,199-10,277-19,651-71,939-109,223-137,557-764,561-4,696,589-32,876,123

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,876,123:


Ask a Question