Q: What are the factor combinations of the number 62,959?

 A:
Positive:   1 x 6295913 x 484329 x 2171167 x 377
Negative: -1 x -62959-13 x -4843-29 x -2171-167 x -377


How do I find the factor combinations of the number 62,959?

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 62,959, 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 62,959
-1 -62,959

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 62,959.

Example:
1 x 62,959 = 62,959
and
-1 x -62,959 = 62,959
Notice both answers equal 62,959

With that explanation out of the way, let's continue. Next, we take the number 62,959 and divide it by 2:

62,959 ÷ 2 = 31,479.5

If the quotient is a whole number, then 2 and 31,479.5 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 62,959
-1 -62,959

Now, we try dividing 62,959 by 3:

62,959 ÷ 3 = 20,986.3333

If the quotient is a whole number, then 3 and 20,986.3333 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 62,959
-1 -62,959

Let's try dividing by 4:

62,959 ÷ 4 = 15,739.75

If the quotient is a whole number, then 4 and 15,739.75 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 62,959
-1 62,959
Keep dividing by the next highest number until you cannot divide anymore.

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

113291673772,1714,84362,959
-1-13-29-167-377-2,171-4,843-62,959

More Examples

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