Q: What are the factor combinations of the number 9,401,713?

 A:
Positive:   1 x 940171319 x 49482729 x 324197113 x 83201151 x 62263551 x 170632147 x 43792869 x 3277
Negative: -1 x -9401713-19 x -494827-29 x -324197-113 x -83201-151 x -62263-551 x -17063-2147 x -4379-2869 x -3277


How do I find the factor combinations of the number 9,401,713?

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 9,401,713, 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 9,401,713
-1 -9,401,713

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 9,401,713.

Example:
1 x 9,401,713 = 9,401,713
and
-1 x -9,401,713 = 9,401,713
Notice both answers equal 9,401,713

With that explanation out of the way, let's continue. Next, we take the number 9,401,713 and divide it by 2:

9,401,713 ÷ 2 = 4,700,856.5

If the quotient is a whole number, then 2 and 4,700,856.5 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 9,401,713
-1 -9,401,713

Now, we try dividing 9,401,713 by 3:

9,401,713 ÷ 3 = 3,133,904.3333

If the quotient is a whole number, then 3 and 3,133,904.3333 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 9,401,713
-1 -9,401,713

Let's try dividing by 4:

9,401,713 ÷ 4 = 2,350,428.25

If the quotient is a whole number, then 4 and 2,350,428.25 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 9,401,713
-1 9,401,713
Keep dividing by the next highest number until you cannot divide anymore.

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

119291131515512,1472,8693,2774,37917,06362,26383,201324,197494,8279,401,713
-1-19-29-113-151-551-2,147-2,869-3,277-4,379-17,063-62,263-83,201-324,197-494,827-9,401,713

More Examples

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