Q: What are the factor combinations of the number 660,695?

 A:
Positive:   1 x 6606955 x 1321397 x 9438535 x 1887743 x 15365215 x 3073301 x 2195439 x 1505
Negative: -1 x -660695-5 x -132139-7 x -94385-35 x -18877-43 x -15365-215 x -3073-301 x -2195-439 x -1505


How do I find the factor combinations of the number 660,695?

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 660,695, 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.

1 660,695
-1 -660,695

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 660,695.

Example:
1 x 660,695 = 660,695
and
-1 x -660,695 = 660,695
Notice both answers equal 660,695

With that explanation out of the way, let's continue. Next, we take the number 660,695 and divide it by 2:

660,695 ÷ 2 = 330,347.5

If the quotient is a whole number, then 2 and 330,347.5 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:

1 660,695
-1 -660,695

Now, we try dividing 660,695 by 3:

660,695 ÷ 3 = 220,231.6667

If the quotient is a whole number, then 3 and 220,231.6667 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:

1 660,695
-1 -660,695

Let's try dividing by 4:

660,695 ÷ 4 = 165,173.75

If the quotient is a whole number, then 4 and 165,173.75 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:

1 660,695
-1 660,695
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153014391,5052,1953,07315,36518,87794,385132,139660,695
-1-5-7-35-43-215-301-439-1,505-2,195-3,073-15,365-18,877-94,385-132,139-660,695

More Examples

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