Q: What are the factor combinations of the number 13,537,979?

 A:
Positive:   1 x 135379797 x 193399713 x 104138331 x 43670991 x 148769217 x 62387403 x 335932821 x 4799
Negative: -1 x -13537979-7 x -1933997-13 x -1041383-31 x -436709-91 x -148769-217 x -62387-403 x -33593-2821 x -4799


How do I find the factor combinations of the number 13,537,979?

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 13,537,979, 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 13,537,979
-1 -13,537,979

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 13,537,979.

Example:
1 x 13,537,979 = 13,537,979
and
-1 x -13,537,979 = 13,537,979
Notice both answers equal 13,537,979

With that explanation out of the way, let's continue. Next, we take the number 13,537,979 and divide it by 2:

13,537,979 ÷ 2 = 6,768,989.5

If the quotient is a whole number, then 2 and 6,768,989.5 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 13,537,979
-1 -13,537,979

Now, we try dividing 13,537,979 by 3:

13,537,979 ÷ 3 = 4,512,659.6667

If the quotient is a whole number, then 3 and 4,512,659.6667 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 13,537,979
-1 -13,537,979

Let's try dividing by 4:

13,537,979 ÷ 4 = 3,384,494.75

If the quotient is a whole number, then 4 and 3,384,494.75 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 13,537,979
-1 13,537,979
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,8214,79933,59362,387148,769436,7091,041,3831,933,99713,537,979
-1-7-13-31-91-217-403-2,821-4,799-33,593-62,387-148,769-436,709-1,041,383-1,933,997-13,537,979

More Examples

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