Q: What are the factor combinations of the number 60,681,833?

 A:
Positive:   1 x 6068183329 x 209247767 x 9056991943 x 31231
Negative: -1 x -60681833-29 x -2092477-67 x -905699-1943 x -31231


How do I find the factor combinations of the number 60,681,833?

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 60,681,833, 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 60,681,833
-1 -60,681,833

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 60,681,833.

Example:
1 x 60,681,833 = 60,681,833
and
-1 x -60,681,833 = 60,681,833
Notice both answers equal 60,681,833

With that explanation out of the way, let's continue. Next, we take the number 60,681,833 and divide it by 2:

60,681,833 ÷ 2 = 30,340,916.5

If the quotient is a whole number, then 2 and 30,340,916.5 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 60,681,833
-1 -60,681,833

Now, we try dividing 60,681,833 by 3:

60,681,833 ÷ 3 = 20,227,277.6667

If the quotient is a whole number, then 3 and 20,227,277.6667 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 60,681,833
-1 -60,681,833

Let's try dividing by 4:

60,681,833 ÷ 4 = 15,170,458.25

If the quotient is a whole number, then 4 and 15,170,458.25 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 60,681,833
-1 60,681,833
Keep dividing by the next highest number until you cannot divide anymore.

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

129671,94331,231905,6992,092,47760,681,833
-1-29-67-1,943-31,231-905,699-2,092,477-60,681,833

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 60,681,833:


Ask a Question