Q: What are the factor combinations of the number 13,640,737?

 A:
Positive:   1 x 1364073711 x 1240067743 x 183591669 x 8173
Negative: -1 x -13640737-11 x -1240067-743 x -18359-1669 x -8173


How do I find the factor combinations of the number 13,640,737?

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 13,640,737, 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 13,640,737
-1 -13,640,737

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 13,640,737.

Example:
1 x 13,640,737 = 13,640,737
and
-1 x -13,640,737 = 13,640,737
Notice both answers equal 13,640,737

With that explanation out of the way, let's continue. Next, we take the number 13,640,737 and divide it by 2:

13,640,737 ÷ 2 = 6,820,368.5

If the quotient is a whole number, then 2 and 6,820,368.5 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 13,640,737
-1 -13,640,737

Now, we try dividing 13,640,737 by 3:

13,640,737 ÷ 3 = 4,546,912.3333

If the quotient is a whole number, then 3 and 4,546,912.3333 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 13,640,737
-1 -13,640,737

Let's try dividing by 4:

13,640,737 ÷ 4 = 3,410,184.25

If the quotient is a whole number, then 4 and 3,410,184.25 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 13,640,737
-1 13,640,737
Keep dividing by the next highest number until you cannot divide anymore.

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

1117431,6698,17318,3591,240,06713,640,737
-1-11-743-1,669-8,173-18,359-1,240,067-13,640,737

More Examples

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