Q: What are the factor combinations of the number 195,792?

 A:
Positive:   1 x 1957922 x 978963 x 652644 x 489486 x 326328 x 2447412 x 1631616 x 1223724 x 815848 x 4079
Negative: -1 x -195792-2 x -97896-3 x -65264-4 x -48948-6 x -32632-8 x -24474-12 x -16316-16 x -12237-24 x -8158-48 x -4079


How do I find the factor combinations of the number 195,792?

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 195,792, 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.

1 195,792
-1 -195,792

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 195,792.

Example:
1 x 195,792 = 195,792
and
-1 x -195,792 = 195,792
Notice both answers equal 195,792

With that explanation out of the way, let's continue. Next, we take the number 195,792 and divide it by 2:

195,792 ÷ 2 = 97,896

If the quotient is a whole number, then 2 and 97,896 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 97,896 195,792
-1 -2 -97,896 -195,792

Now, we try dividing 195,792 by 3:

195,792 ÷ 3 = 65,264

If the quotient is a whole number, then 3 and 65,264 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 3 65,264 97,896 195,792
-1 -2 -3 -65,264 -97,896 -195,792

Let's try dividing by 4:

195,792 ÷ 4 = 48,948

If the quotient is a whole number, then 4 and 48,948 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 3 4 48,948 65,264 97,896 195,792
-1 -2 -3 -4 -48,948 -65,264 -97,896 195,792
Keep dividing by the next highest number until you cannot divide anymore.

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

123468121624484,0798,15812,23716,31624,47432,63248,94865,26497,896195,792
-1-2-3-4-6-8-12-16-24-48-4,079-8,158-12,237-16,316-24,474-32,632-48,948-65,264-97,896-195,792

More Examples

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