Q: What are the factor combinations of the number 9,647,015?

 A:
Positive:   1 x 96470155 x 19294037 x 137814535 x 275629101 x 95515505 x 19103707 x 136452729 x 3535
Negative: -1 x -9647015-5 x -1929403-7 x -1378145-35 x -275629-101 x -95515-505 x -19103-707 x -13645-2729 x -3535


How do I find the factor combinations of the number 9,647,015?

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 9,647,015, 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 9,647,015
-1 -9,647,015

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 9,647,015.

Example:
1 x 9,647,015 = 9,647,015
and
-1 x -9,647,015 = 9,647,015
Notice both answers equal 9,647,015

With that explanation out of the way, let's continue. Next, we take the number 9,647,015 and divide it by 2:

9,647,015 ÷ 2 = 4,823,507.5

If the quotient is a whole number, then 2 and 4,823,507.5 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 9,647,015
-1 -9,647,015

Now, we try dividing 9,647,015 by 3:

9,647,015 ÷ 3 = 3,215,671.6667

If the quotient is a whole number, then 3 and 3,215,671.6667 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 9,647,015
-1 -9,647,015

Let's try dividing by 4:

9,647,015 ÷ 4 = 2,411,753.75

If the quotient is a whole number, then 4 and 2,411,753.75 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 9,647,015
-1 9,647,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157351015057072,7293,53513,64519,10395,515275,6291,378,1451,929,4039,647,015
-1-5-7-35-101-505-707-2,729-3,535-13,645-19,103-95,515-275,629-1,378,145-1,929,403-9,647,015

More Examples

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