Q: What are the factor combinations of the number 458,983?

 A:
Positive:   1 x 4589837 x 6556917 x 2699919 x 2415729 x 1582749 x 9367119 x 3857133 x 3451203 x 2261323 x 1421493 x 931551 x 833
Negative: -1 x -458983-7 x -65569-17 x -26999-19 x -24157-29 x -15827-49 x -9367-119 x -3857-133 x -3451-203 x -2261-323 x -1421-493 x -931-551 x -833


How do I find the factor combinations of the number 458,983?

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 458,983, 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.

1 458,983
-1 -458,983

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 458,983.

Example:
1 x 458,983 = 458,983
and
-1 x -458,983 = 458,983
Notice both answers equal 458,983

With that explanation out of the way, let's continue. Next, we take the number 458,983 and divide it by 2:

458,983 ÷ 2 = 229,491.5

If the quotient is a whole number, then 2 and 229,491.5 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:

1 458,983
-1 -458,983

Now, we try dividing 458,983 by 3:

458,983 ÷ 3 = 152,994.3333

If the quotient is a whole number, then 3 and 152,994.3333 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:

1 458,983
-1 -458,983

Let's try dividing by 4:

458,983 ÷ 4 = 114,745.75

If the quotient is a whole number, then 4 and 114,745.75 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:

1 458,983
-1 458,983
Keep dividing by the next highest number until you cannot divide anymore.

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

17171929491191332033234935518339311,4212,2613,4513,8579,36715,82724,15726,99965,569458,983
-1-7-17-19-29-49-119-133-203-323-493-551-833-931-1,421-2,261-3,451-3,857-9,367-15,827-24,157-26,999-65,569-458,983

More Examples

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