Q: What are the factor combinations of the number 9,565,721?

 A:
Positive:   1 x 956572111 x 86961119 x 50345937 x 258533209 x 45769407 x 23503703 x 136071237 x 7733
Negative: -1 x -9565721-11 x -869611-19 x -503459-37 x -258533-209 x -45769-407 x -23503-703 x -13607-1237 x -7733


How do I find the factor combinations of the number 9,565,721?

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 9,565,721, 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 9,565,721
-1 -9,565,721

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 9,565,721.

Example:
1 x 9,565,721 = 9,565,721
and
-1 x -9,565,721 = 9,565,721
Notice both answers equal 9,565,721

With that explanation out of the way, let's continue. Next, we take the number 9,565,721 and divide it by 2:

9,565,721 ÷ 2 = 4,782,860.5

If the quotient is a whole number, then 2 and 4,782,860.5 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 9,565,721
-1 -9,565,721

Now, we try dividing 9,565,721 by 3:

9,565,721 ÷ 3 = 3,188,573.6667

If the quotient is a whole number, then 3 and 3,188,573.6667 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 9,565,721
-1 -9,565,721

Let's try dividing by 4:

9,565,721 ÷ 4 = 2,391,430.25

If the quotient is a whole number, then 4 and 2,391,430.25 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 9,565,721
-1 9,565,721
Keep dividing by the next highest number until you cannot divide anymore.

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

11119372094077031,2377,73313,60723,50345,769258,533503,459869,6119,565,721
-1-11-19-37-209-407-703-1,237-7,733-13,607-23,503-45,769-258,533-503,459-869,611-9,565,721

More Examples

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