Q: What are the factor combinations of the number 8,869,007?

 A:
Positive:   1 x 88690077 x 126700123 x 38560931 x 286097161 x 55087217 x 40871713 x 124391777 x 4991
Negative: -1 x -8869007-7 x -1267001-23 x -385609-31 x -286097-161 x -55087-217 x -40871-713 x -12439-1777 x -4991


How do I find the factor combinations of the number 8,869,007?

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 8,869,007, 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 8,869,007
-1 -8,869,007

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 8,869,007.

Example:
1 x 8,869,007 = 8,869,007
and
-1 x -8,869,007 = 8,869,007
Notice both answers equal 8,869,007

With that explanation out of the way, let's continue. Next, we take the number 8,869,007 and divide it by 2:

8,869,007 ÷ 2 = 4,434,503.5

If the quotient is a whole number, then 2 and 4,434,503.5 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 8,869,007
-1 -8,869,007

Now, we try dividing 8,869,007 by 3:

8,869,007 ÷ 3 = 2,956,335.6667

If the quotient is a whole number, then 3 and 2,956,335.6667 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 8,869,007
-1 -8,869,007

Let's try dividing by 4:

8,869,007 ÷ 4 = 2,217,251.75

If the quotient is a whole number, then 4 and 2,217,251.75 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 8,869,007
-1 8,869,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177131,7774,99112,43940,87155,087286,097385,6091,267,0018,869,007
-1-7-23-31-161-217-713-1,777-4,991-12,439-40,871-55,087-286,097-385,609-1,267,001-8,869,007

More Examples

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