Q: What are the factor combinations of the number 60,013,709?

 A:
Positive:   1 x 600137097 x 857338741 x 146374967 x 895727287 x 209107469 x 1279612747 x 218473121 x 19229
Negative: -1 x -60013709-7 x -8573387-41 x -1463749-67 x -895727-287 x -209107-469 x -127961-2747 x -21847-3121 x -19229


How do I find the factor combinations of the number 60,013,709?

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 60,013,709, 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 60,013,709
-1 -60,013,709

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 60,013,709.

Example:
1 x 60,013,709 = 60,013,709
and
-1 x -60,013,709 = 60,013,709
Notice both answers equal 60,013,709

With that explanation out of the way, let's continue. Next, we take the number 60,013,709 and divide it by 2:

60,013,709 ÷ 2 = 30,006,854.5

If the quotient is a whole number, then 2 and 30,006,854.5 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 60,013,709
-1 -60,013,709

Now, we try dividing 60,013,709 by 3:

60,013,709 ÷ 3 = 20,004,569.6667

If the quotient is a whole number, then 3 and 20,004,569.6667 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 60,013,709
-1 -60,013,709

Let's try dividing by 4:

60,013,709 ÷ 4 = 15,003,427.25

If the quotient is a whole number, then 4 and 15,003,427.25 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 60,013,709
-1 60,013,709
Keep dividing by the next highest number until you cannot divide anymore.

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

1741672874692,7473,12119,22921,847127,961209,107895,7271,463,7498,573,38760,013,709
-1-7-41-67-287-469-2,747-3,121-19,229-21,847-127,961-209,107-895,727-1,463,749-8,573,387-60,013,709

More Examples

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