Q: What are the factor combinations of the number 8,690,429?

 A:
Positive:   1 x 869042911 x 79003919 x 45739143 x 202103209 x 41581473 x 18373817 x 10637967 x 8987
Negative: -1 x -8690429-11 x -790039-19 x -457391-43 x -202103-209 x -41581-473 x -18373-817 x -10637-967 x -8987


How do I find the factor combinations of the number 8,690,429?

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 8,690,429, 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 8,690,429
-1 -8,690,429

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 8,690,429.

Example:
1 x 8,690,429 = 8,690,429
and
-1 x -8,690,429 = 8,690,429
Notice both answers equal 8,690,429

With that explanation out of the way, let's continue. Next, we take the number 8,690,429 and divide it by 2:

8,690,429 ÷ 2 = 4,345,214.5

If the quotient is a whole number, then 2 and 4,345,214.5 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 8,690,429
-1 -8,690,429

Now, we try dividing 8,690,429 by 3:

8,690,429 ÷ 3 = 2,896,809.6667

If the quotient is a whole number, then 3 and 2,896,809.6667 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 8,690,429
-1 -8,690,429

Let's try dividing by 4:

8,690,429 ÷ 4 = 2,172,607.25

If the quotient is a whole number, then 4 and 2,172,607.25 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 8,690,429
-1 8,690,429
Keep dividing by the next highest number until you cannot divide anymore.

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

11119432094738179678,98710,63718,37341,581202,103457,391790,0398,690,429
-1-11-19-43-209-473-817-967-8,987-10,637-18,373-41,581-202,103-457,391-790,039-8,690,429

More Examples

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