Q: What are the factor combinations of the number 9,013,615?

 A:
Positive:   1 x 90136155 x 180272313 x 69335565 x 138671169 x 53335845 x 10667
Negative: -1 x -9013615-5 x -1802723-13 x -693355-65 x -138671-169 x -53335-845 x -10667


How do I find the factor combinations of the number 9,013,615?

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 9,013,615, 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 9,013,615
-1 -9,013,615

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 9,013,615.

Example:
1 x 9,013,615 = 9,013,615
and
-1 x -9,013,615 = 9,013,615
Notice both answers equal 9,013,615

With that explanation out of the way, let's continue. Next, we take the number 9,013,615 and divide it by 2:

9,013,615 ÷ 2 = 4,506,807.5

If the quotient is a whole number, then 2 and 4,506,807.5 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 9,013,615
-1 -9,013,615

Now, we try dividing 9,013,615 by 3:

9,013,615 ÷ 3 = 3,004,538.3333

If the quotient is a whole number, then 3 and 3,004,538.3333 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 9,013,615
-1 -9,013,615

Let's try dividing by 4:

9,013,615 ÷ 4 = 2,253,403.75

If the quotient is a whole number, then 4 and 2,253,403.75 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 9,013,615
-1 9,013,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15136516984510,66753,335138,671693,3551,802,7239,013,615
-1-5-13-65-169-845-10,667-53,335-138,671-693,355-1,802,723-9,013,615

More Examples

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