Q: What are the factor combinations of the number 9,707,765?

 A:
Positive:   1 x 97077655 x 194155317 x 57104519 x 51093585 x 11420995 x 102187323 x 300551615 x 6011
Negative: -1 x -9707765-5 x -1941553-17 x -571045-19 x -510935-85 x -114209-95 x -102187-323 x -30055-1615 x -6011


How do I find the factor combinations of the number 9,707,765?

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 9,707,765, 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 9,707,765
-1 -9,707,765

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 9,707,765.

Example:
1 x 9,707,765 = 9,707,765
and
-1 x -9,707,765 = 9,707,765
Notice both answers equal 9,707,765

With that explanation out of the way, let's continue. Next, we take the number 9,707,765 and divide it by 2:

9,707,765 ÷ 2 = 4,853,882.5

If the quotient is a whole number, then 2 and 4,853,882.5 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 9,707,765
-1 -9,707,765

Now, we try dividing 9,707,765 by 3:

9,707,765 ÷ 3 = 3,235,921.6667

If the quotient is a whole number, then 3 and 3,235,921.6667 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 9,707,765
-1 -9,707,765

Let's try dividing by 4:

9,707,765 ÷ 4 = 2,426,941.25

If the quotient is a whole number, then 4 and 2,426,941.25 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 9,707,765
-1 9,707,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,6156,01130,055102,187114,209510,935571,0451,941,5539,707,765
-1-5-17-19-85-95-323-1,615-6,011-30,055-102,187-114,209-510,935-571,045-1,941,553-9,707,765

More Examples

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