Q: What are the factor combinations of the number 60,236,731?

 A:
Positive:   1 x 60236731263 x 229037
Negative: -1 x -60236731-263 x -229037


How do I find the factor combinations of the number 60,236,731?

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 60,236,731, 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 60,236,731
-1 -60,236,731

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 60,236,731.

Example:
1 x 60,236,731 = 60,236,731
and
-1 x -60,236,731 = 60,236,731
Notice both answers equal 60,236,731

With that explanation out of the way, let's continue. Next, we take the number 60,236,731 and divide it by 2:

60,236,731 ÷ 2 = 30,118,365.5

If the quotient is a whole number, then 2 and 30,118,365.5 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 60,236,731
-1 -60,236,731

Now, we try dividing 60,236,731 by 3:

60,236,731 ÷ 3 = 20,078,910.3333

If the quotient is a whole number, then 3 and 20,078,910.3333 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 60,236,731
-1 -60,236,731

Let's try dividing by 4:

60,236,731 ÷ 4 = 15,059,182.75

If the quotient is a whole number, then 4 and 15,059,182.75 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 60,236,731
-1 60,236,731
Keep dividing by the next highest number until you cannot divide anymore.

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

1263229,03760,236,731
-1-263-229,037-60,236,731

More Examples

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