Q: What are the factor combinations of the number 9,520,007?

 A:
Positive:   1 x 95200077 x 136000119 x 50105331 x 307097133 x 71579217 x 43871589 x 161632309 x 4123
Negative: -1 x -9520007-7 x -1360001-19 x -501053-31 x -307097-133 x -71579-217 x -43871-589 x -16163-2309 x -4123


How do I find the factor combinations of the number 9,520,007?

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 9,520,007, 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 9,520,007
-1 -9,520,007

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 9,520,007.

Example:
1 x 9,520,007 = 9,520,007
and
-1 x -9,520,007 = 9,520,007
Notice both answers equal 9,520,007

With that explanation out of the way, let's continue. Next, we take the number 9,520,007 and divide it by 2:

9,520,007 ÷ 2 = 4,760,003.5

If the quotient is a whole number, then 2 and 4,760,003.5 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 9,520,007
-1 -9,520,007

Now, we try dividing 9,520,007 by 3:

9,520,007 ÷ 3 = 3,173,335.6667

If the quotient is a whole number, then 3 and 3,173,335.6667 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 9,520,007
-1 -9,520,007

Let's try dividing by 4:

9,520,007 ÷ 4 = 2,380,001.75

If the quotient is a whole number, then 4 and 2,380,001.75 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 9,520,007
-1 9,520,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175892,3094,12316,16343,87171,579307,097501,0531,360,0019,520,007
-1-7-19-31-133-217-589-2,309-4,123-16,163-43,871-71,579-307,097-501,053-1,360,001-9,520,007

More Examples

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