Q: What are the factor combinations of the number 60,323,707?

 A:
Positive:   1 x 60323707547 x 110281
Negative: -1 x -60323707-547 x -110281


How do I find the factor combinations of the number 60,323,707?

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 60,323,707, 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 60,323,707
-1 -60,323,707

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 60,323,707.

Example:
1 x 60,323,707 = 60,323,707
and
-1 x -60,323,707 = 60,323,707
Notice both answers equal 60,323,707

With that explanation out of the way, let's continue. Next, we take the number 60,323,707 and divide it by 2:

60,323,707 ÷ 2 = 30,161,853.5

If the quotient is a whole number, then 2 and 30,161,853.5 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 60,323,707
-1 -60,323,707

Now, we try dividing 60,323,707 by 3:

60,323,707 ÷ 3 = 20,107,902.3333

If the quotient is a whole number, then 3 and 20,107,902.3333 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 60,323,707
-1 -60,323,707

Let's try dividing by 4:

60,323,707 ÷ 4 = 15,080,926.75

If the quotient is a whole number, then 4 and 15,080,926.75 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 60,323,707
-1 60,323,707
Keep dividing by the next highest number until you cannot divide anymore.

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

1547110,28160,323,707
-1-547-110,281-60,323,707

More Examples

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