Q: What are the factor combinations of the number 1,707,085?

 A:
Positive:   1 x 17070855 x 34141729 x 5886561 x 27985145 x 11773193 x 8845305 x 5597965 x 1769
Negative: -1 x -1707085-5 x -341417-29 x -58865-61 x -27985-145 x -11773-193 x -8845-305 x -5597-965 x -1769


How do I find the factor combinations of the number 1,707,085?

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 1,707,085, 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 1,707,085
-1 -1,707,085

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 1,707,085.

Example:
1 x 1,707,085 = 1,707,085
and
-1 x -1,707,085 = 1,707,085
Notice both answers equal 1,707,085

With that explanation out of the way, let's continue. Next, we take the number 1,707,085 and divide it by 2:

1,707,085 ÷ 2 = 853,542.5

If the quotient is a whole number, then 2 and 853,542.5 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 1,707,085
-1 -1,707,085

Now, we try dividing 1,707,085 by 3:

1,707,085 ÷ 3 = 569,028.3333

If the quotient is a whole number, then 3 and 569,028.3333 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 1,707,085
-1 -1,707,085

Let's try dividing by 4:

1,707,085 ÷ 4 = 426,771.25

If the quotient is a whole number, then 4 and 426,771.25 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 1,707,085
-1 1,707,085
Keep dividing by the next highest number until you cannot divide anymore.

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

1529611451933059651,7695,5978,84511,77327,98558,865341,4171,707,085
-1-5-29-61-145-193-305-965-1,769-5,597-8,845-11,773-27,985-58,865-341,417-1,707,085

More Examples

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