Q: What are the factor combinations of the number 958,867?

 A:
Positive:   1 x 9588677 x 13698113 x 7375941 x 2338791 x 10537257 x 3731287 x 3341533 x 1799
Negative: -1 x -958867-7 x -136981-13 x -73759-41 x -23387-91 x -10537-257 x -3731-287 x -3341-533 x -1799


How do I find the factor combinations of the number 958,867?

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 958,867, 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.

1 958,867
-1 -958,867

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 958,867.

Example:
1 x 958,867 = 958,867
and
-1 x -958,867 = 958,867
Notice both answers equal 958,867

With that explanation out of the way, let's continue. Next, we take the number 958,867 and divide it by 2:

958,867 ÷ 2 = 479,433.5

If the quotient is a whole number, then 2 and 479,433.5 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:

1 958,867
-1 -958,867

Now, we try dividing 958,867 by 3:

958,867 ÷ 3 = 319,622.3333

If the quotient is a whole number, then 3 and 319,622.3333 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:

1 958,867
-1 -958,867

Let's try dividing by 4:

958,867 ÷ 4 = 239,716.75

If the quotient is a whole number, then 4 and 239,716.75 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:

1 958,867
-1 958,867
Keep dividing by the next highest number until you cannot divide anymore.

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

171341912572875331,7993,3413,73110,53723,38773,759136,981958,867
-1-7-13-41-91-257-287-533-1,799-3,341-3,731-10,537-23,387-73,759-136,981-958,867

More Examples

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