Q: What are the factor combinations of the number 60,775?

 A:
Positive:   1 x 607755 x 1215511 x 552513 x 467517 x 357525 x 243155 x 110565 x 93585 x 715143 x 425187 x 325221 x 275
Negative: -1 x -60775-5 x -12155-11 x -5525-13 x -4675-17 x -3575-25 x -2431-55 x -1105-65 x -935-85 x -715-143 x -425-187 x -325-221 x -275


How do I find the factor combinations of the number 60,775?

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 60,775, 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 60,775
-1 -60,775

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 60,775.

Example:
1 x 60,775 = 60,775
and
-1 x -60,775 = 60,775
Notice both answers equal 60,775

With that explanation out of the way, let's continue. Next, we take the number 60,775 and divide it by 2:

60,775 ÷ 2 = 30,387.5

If the quotient is a whole number, then 2 and 30,387.5 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 60,775
-1 -60,775

Now, we try dividing 60,775 by 3:

60,775 ÷ 3 = 20,258.3333

If the quotient is a whole number, then 3 and 20,258.3333 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 60,775
-1 -60,775

Let's try dividing by 4:

60,775 ÷ 4 = 15,193.75

If the quotient is a whole number, then 4 and 15,193.75 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 60,775
-1 60,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15111317255565851431872212753254257159351,1052,4313,5754,6755,52512,15560,775
-1-5-11-13-17-25-55-65-85-143-187-221-275-325-425-715-935-1,105-2,431-3,575-4,675-5,525-12,155-60,775

More Examples

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