Q: What are the factor combinations of the number 8,000,695?

 A:
Positive:   1 x 80006955 x 160013937 x 21623559 x 135605185 x 43247295 x 27121733 x 109152183 x 3665
Negative: -1 x -8000695-5 x -1600139-37 x -216235-59 x -135605-185 x -43247-295 x -27121-733 x -10915-2183 x -3665


How do I find the factor combinations of the number 8,000,695?

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 8,000,695, 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 8,000,695
-1 -8,000,695

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 8,000,695.

Example:
1 x 8,000,695 = 8,000,695
and
-1 x -8,000,695 = 8,000,695
Notice both answers equal 8,000,695

With that explanation out of the way, let's continue. Next, we take the number 8,000,695 and divide it by 2:

8,000,695 ÷ 2 = 4,000,347.5

If the quotient is a whole number, then 2 and 4,000,347.5 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 8,000,695
-1 -8,000,695

Now, we try dividing 8,000,695 by 3:

8,000,695 ÷ 3 = 2,666,898.3333

If the quotient is a whole number, then 3 and 2,666,898.3333 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 8,000,695
-1 -8,000,695

Let's try dividing by 4:

8,000,695 ÷ 4 = 2,000,173.75

If the quotient is a whole number, then 4 and 2,000,173.75 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 8,000,695
-1 8,000,695
Keep dividing by the next highest number until you cannot divide anymore.

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

1537591852957332,1833,66510,91527,12143,247135,605216,2351,600,1398,000,695
-1-5-37-59-185-295-733-2,183-3,665-10,915-27,121-43,247-135,605-216,235-1,600,139-8,000,695

More Examples

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