Q: What are the factor combinations of the number 5,998,993?

 A:
Positive:   1 x 59989937 x 85699911 x 54536313 x 46146177 x 7790991 x 65923143 x 41951169 x 35497461 x 130131001 x 59931183 x 50711859 x 3227
Negative: -1 x -5998993-7 x -856999-11 x -545363-13 x -461461-77 x -77909-91 x -65923-143 x -41951-169 x -35497-461 x -13013-1001 x -5993-1183 x -5071-1859 x -3227


How do I find the factor combinations of the number 5,998,993?

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 5,998,993, 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 5,998,993
-1 -5,998,993

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 5,998,993.

Example:
1 x 5,998,993 = 5,998,993
and
-1 x -5,998,993 = 5,998,993
Notice both answers equal 5,998,993

With that explanation out of the way, let's continue. Next, we take the number 5,998,993 and divide it by 2:

5,998,993 ÷ 2 = 2,999,496.5

If the quotient is a whole number, then 2 and 2,999,496.5 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 5,998,993
-1 -5,998,993

Now, we try dividing 5,998,993 by 3:

5,998,993 ÷ 3 = 1,999,664.3333

If the quotient is a whole number, then 3 and 1,999,664.3333 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 5,998,993
-1 -5,998,993

Let's try dividing by 4:

5,998,993 ÷ 4 = 1,499,748.25

If the quotient is a whole number, then 4 and 1,499,748.25 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 5,998,993
-1 5,998,993
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431694611,0011,1831,8593,2275,0715,99313,01335,49741,95165,92377,909461,461545,363856,9995,998,993
-1-7-11-13-77-91-143-169-461-1,001-1,183-1,859-3,227-5,071-5,993-13,013-35,497-41,951-65,923-77,909-461,461-545,363-856,999-5,998,993

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,998,993:


Ask a Question