Q: What are the factor combinations of the number 9,492,329?

 A:
Positive:   1 x 94923297 x 135604711 x 86293949 x 19372177 x 123277121 x 78449539 x 17611847 x 112071601 x 5929
Negative: -1 x -9492329-7 x -1356047-11 x -862939-49 x -193721-77 x -123277-121 x -78449-539 x -17611-847 x -11207-1601 x -5929


How do I find the factor combinations of the number 9,492,329?

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 9,492,329, 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 9,492,329
-1 -9,492,329

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 9,492,329.

Example:
1 x 9,492,329 = 9,492,329
and
-1 x -9,492,329 = 9,492,329
Notice both answers equal 9,492,329

With that explanation out of the way, let's continue. Next, we take the number 9,492,329 and divide it by 2:

9,492,329 ÷ 2 = 4,746,164.5

If the quotient is a whole number, then 2 and 4,746,164.5 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 9,492,329
-1 -9,492,329

Now, we try dividing 9,492,329 by 3:

9,492,329 ÷ 3 = 3,164,109.6667

If the quotient is a whole number, then 3 and 3,164,109.6667 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 9,492,329
-1 -9,492,329

Let's try dividing by 4:

9,492,329 ÷ 4 = 2,373,082.25

If the quotient is a whole number, then 4 and 2,373,082.25 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 9,492,329
-1 9,492,329
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771215398471,6015,92911,20717,61178,449123,277193,721862,9391,356,0479,492,329
-1-7-11-49-77-121-539-847-1,601-5,929-11,207-17,611-78,449-123,277-193,721-862,939-1,356,047-9,492,329

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