Q: What are the factor combinations of the number 62,557,331?

 A:
Positive:   1 x 6255733117 x 367984353 x 1180327901 x 69431
Negative: -1 x -62557331-17 x -3679843-53 x -1180327-901 x -69431


How do I find the factor combinations of the number 62,557,331?

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 62,557,331, 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 62,557,331
-1 -62,557,331

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 62,557,331.

Example:
1 x 62,557,331 = 62,557,331
and
-1 x -62,557,331 = 62,557,331
Notice both answers equal 62,557,331

With that explanation out of the way, let's continue. Next, we take the number 62,557,331 and divide it by 2:

62,557,331 ÷ 2 = 31,278,665.5

If the quotient is a whole number, then 2 and 31,278,665.5 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 62,557,331
-1 -62,557,331

Now, we try dividing 62,557,331 by 3:

62,557,331 ÷ 3 = 20,852,443.6667

If the quotient is a whole number, then 3 and 20,852,443.6667 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 62,557,331
-1 -62,557,331

Let's try dividing by 4:

62,557,331 ÷ 4 = 15,639,332.75

If the quotient is a whole number, then 4 and 15,639,332.75 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 62,557,331
-1 62,557,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1175390169,4311,180,3273,679,84362,557,331
-1-17-53-901-69,431-1,180,327-3,679,843-62,557,331

More Examples

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