Q: What are the factor combinations of the number 8,022,007?

 A:
Positive:   1 x 80220077 x 114600137 x 21681147 x 170681259 x 30973329 x 24383659 x 121731739 x 4613
Negative: -1 x -8022007-7 x -1146001-37 x -216811-47 x -170681-259 x -30973-329 x -24383-659 x -12173-1739 x -4613


How do I find the factor combinations of the number 8,022,007?

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 8,022,007, 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 8,022,007
-1 -8,022,007

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 8,022,007.

Example:
1 x 8,022,007 = 8,022,007
and
-1 x -8,022,007 = 8,022,007
Notice both answers equal 8,022,007

With that explanation out of the way, let's continue. Next, we take the number 8,022,007 and divide it by 2:

8,022,007 ÷ 2 = 4,011,003.5

If the quotient is a whole number, then 2 and 4,011,003.5 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 8,022,007
-1 -8,022,007

Now, we try dividing 8,022,007 by 3:

8,022,007 ÷ 3 = 2,674,002.3333

If the quotient is a whole number, then 3 and 2,674,002.3333 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 8,022,007
-1 -8,022,007

Let's try dividing by 4:

8,022,007 ÷ 4 = 2,005,501.75

If the quotient is a whole number, then 4 and 2,005,501.75 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 8,022,007
-1 8,022,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593296591,7394,61312,17324,38330,973170,681216,8111,146,0018,022,007
-1-7-37-47-259-329-659-1,739-4,613-12,173-24,383-30,973-170,681-216,811-1,146,001-8,022,007

More Examples

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