Q: What are the factor combinations of the number 3,694,789?

 A:
Positive:   1 x 36947897 x 52782723 x 16064353 x 69713161 x 22949371 x 9959433 x 85331219 x 3031
Negative: -1 x -3694789-7 x -527827-23 x -160643-53 x -69713-161 x -22949-371 x -9959-433 x -8533-1219 x -3031


How do I find the factor combinations of the number 3,694,789?

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 3,694,789, 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 3,694,789
-1 -3,694,789

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 3,694,789.

Example:
1 x 3,694,789 = 3,694,789
and
-1 x -3,694,789 = 3,694,789
Notice both answers equal 3,694,789

With that explanation out of the way, let's continue. Next, we take the number 3,694,789 and divide it by 2:

3,694,789 ÷ 2 = 1,847,394.5

If the quotient is a whole number, then 2 and 1,847,394.5 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 3,694,789
-1 -3,694,789

Now, we try dividing 3,694,789 by 3:

3,694,789 ÷ 3 = 1,231,596.3333

If the quotient is a whole number, then 3 and 1,231,596.3333 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 3,694,789
-1 -3,694,789

Let's try dividing by 4:

3,694,789 ÷ 4 = 923,697.25

If the quotient is a whole number, then 4 and 923,697.25 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 3,694,789
-1 3,694,789
Keep dividing by the next highest number until you cannot divide anymore.

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

1723531613714331,2193,0318,5339,95922,94969,713160,643527,8273,694,789
-1-7-23-53-161-371-433-1,219-3,031-8,533-9,959-22,949-69,713-160,643-527,827-3,694,789

More Examples

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