Q: What are the factor combinations of the number 9,500,645?

 A:
Positive:   1 x 95006455 x 19001297 x 135723511 x 86369535 x 27144755 x 17273977 x 123385385 x 24677
Negative: -1 x -9500645-5 x -1900129-7 x -1357235-11 x -863695-35 x -271447-55 x -172739-77 x -123385-385 x -24677


How do I find the factor combinations of the number 9,500,645?

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 9,500,645, 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 9,500,645
-1 -9,500,645

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 9,500,645.

Example:
1 x 9,500,645 = 9,500,645
and
-1 x -9,500,645 = 9,500,645
Notice both answers equal 9,500,645

With that explanation out of the way, let's continue. Next, we take the number 9,500,645 and divide it by 2:

9,500,645 ÷ 2 = 4,750,322.5

If the quotient is a whole number, then 2 and 4,750,322.5 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 9,500,645
-1 -9,500,645

Now, we try dividing 9,500,645 by 3:

9,500,645 ÷ 3 = 3,166,881.6667

If the quotient is a whole number, then 3 and 3,166,881.6667 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 9,500,645
-1 -9,500,645

Let's try dividing by 4:

9,500,645 ÷ 4 = 2,375,161.25

If the quotient is a whole number, then 4 and 2,375,161.25 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 9,500,645
-1 9,500,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738524,677123,385172,739271,447863,6951,357,2351,900,1299,500,645
-1-5-7-11-35-55-77-385-24,677-123,385-172,739-271,447-863,695-1,357,235-1,900,129-9,500,645

More Examples

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