Q: What are the factor combinations of the number 96,775?

 A:
Positive:   1 x 967755 x 193557 x 1382525 x 387135 x 276549 x 197579 x 1225175 x 553245 x 395
Negative: -1 x -96775-5 x -19355-7 x -13825-25 x -3871-35 x -2765-49 x -1975-79 x -1225-175 x -553-245 x -395


How do I find the factor combinations of the number 96,775?

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 96,775, 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 96,775
-1 -96,775

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 96,775.

Example:
1 x 96,775 = 96,775
and
-1 x -96,775 = 96,775
Notice both answers equal 96,775

With that explanation out of the way, let's continue. Next, we take the number 96,775 and divide it by 2:

96,775 ÷ 2 = 48,387.5

If the quotient is a whole number, then 2 and 48,387.5 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 96,775
-1 -96,775

Now, we try dividing 96,775 by 3:

96,775 ÷ 3 = 32,258.3333

If the quotient is a whole number, then 3 and 32,258.3333 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 96,775
-1 -96,775

Let's try dividing by 4:

96,775 ÷ 4 = 24,193.75

If the quotient is a whole number, then 4 and 24,193.75 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 96,775
-1 96,775
Keep dividing by the next highest number until you cannot divide anymore.

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

157253549791752453955531,2251,9752,7653,87113,82519,35596,775
-1-5-7-25-35-49-79-175-245-395-553-1,225-1,975-2,765-3,871-13,825-19,355-96,775

More Examples

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