Q: What are the factor combinations of the number 9,047,789?

 A:
Positive:   1 x 904778953 x 1707132809 x 3221
Negative: -1 x -9047789-53 x -170713-2809 x -3221


How do I find the factor combinations of the number 9,047,789?

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 9,047,789, 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 9,047,789
-1 -9,047,789

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 9,047,789.

Example:
1 x 9,047,789 = 9,047,789
and
-1 x -9,047,789 = 9,047,789
Notice both answers equal 9,047,789

With that explanation out of the way, let's continue. Next, we take the number 9,047,789 and divide it by 2:

9,047,789 ÷ 2 = 4,523,894.5

If the quotient is a whole number, then 2 and 4,523,894.5 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 9,047,789
-1 -9,047,789

Now, we try dividing 9,047,789 by 3:

9,047,789 ÷ 3 = 3,015,929.6667

If the quotient is a whole number, then 3 and 3,015,929.6667 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 9,047,789
-1 -9,047,789

Let's try dividing by 4:

9,047,789 ÷ 4 = 2,261,947.25

If the quotient is a whole number, then 4 and 2,261,947.25 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 9,047,789
-1 9,047,789
Keep dividing by the next highest number until you cannot divide anymore.

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

1532,8093,221170,7139,047,789
-1-53-2,809-3,221-170,713-9,047,789

More Examples

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