Q: What are the factor combinations of the number 60,936,868?

 A:
Positive:   1 x 609368682 x 304684344 x 15234217563 x 1082361126 x 541182252 x 27059
Negative: -1 x -60936868-2 x -30468434-4 x -15234217-563 x -108236-1126 x -54118-2252 x -27059


How do I find the factor combinations of the number 60,936,868?

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 60,936,868, 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 60,936,868
-1 -60,936,868

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 60,936,868.

Example:
1 x 60,936,868 = 60,936,868
and
-1 x -60,936,868 = 60,936,868
Notice both answers equal 60,936,868

With that explanation out of the way, let's continue. Next, we take the number 60,936,868 and divide it by 2:

60,936,868 ÷ 2 = 30,468,434

If the quotient is a whole number, then 2 and 30,468,434 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 30,468,434 60,936,868
-1 -2 -30,468,434 -60,936,868

Now, we try dividing 60,936,868 by 3:

60,936,868 ÷ 3 = 20,312,289.3333

If the quotient is a whole number, then 3 and 20,312,289.3333 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 2 30,468,434 60,936,868
-1 -2 -30,468,434 -60,936,868

Let's try dividing by 4:

60,936,868 ÷ 4 = 15,234,217

If the quotient is a whole number, then 4 and 15,234,217 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 15,234,217 30,468,434 60,936,868
-1 -2 -4 -15,234,217 -30,468,434 60,936,868
Keep dividing by the next highest number until you cannot divide anymore.

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

1245631,1262,25227,05954,118108,23615,234,21730,468,43460,936,868
-1-2-4-563-1,126-2,252-27,059-54,118-108,236-15,234,217-30,468,434-60,936,868

More Examples

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