Q: What are the factor combinations of the number 658,073?

 A:
Positive:   1 x 65807313 x 50621223 x 2951227 x 2899
Negative: -1 x -658073-13 x -50621-223 x -2951-227 x -2899


How do I find the factor combinations of the number 658,073?

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 658,073, 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.

1 658,073
-1 -658,073

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 658,073.

Example:
1 x 658,073 = 658,073
and
-1 x -658,073 = 658,073
Notice both answers equal 658,073

With that explanation out of the way, let's continue. Next, we take the number 658,073 and divide it by 2:

658,073 ÷ 2 = 329,036.5

If the quotient is a whole number, then 2 and 329,036.5 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:

1 658,073
-1 -658,073

Now, we try dividing 658,073 by 3:

658,073 ÷ 3 = 219,357.6667

If the quotient is a whole number, then 3 and 219,357.6667 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:

1 658,073
-1 -658,073

Let's try dividing by 4:

658,073 ÷ 4 = 164,518.25

If the quotient is a whole number, then 4 and 164,518.25 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:

1 658,073
-1 658,073
Keep dividing by the next highest number until you cannot divide anymore.

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

1132232272,8992,95150,621658,073
-1-13-223-227-2,899-2,951-50,621-658,073

More Examples

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