Q: What are the factor combinations of the number 275,060,159?

 A:
Positive:   1 x 27506015911 x 250054691609 x 17095115541 x 17699
Negative: -1 x -275060159-11 x -25005469-1609 x -170951-15541 x -17699


How do I find the factor combinations of the number 275,060,159?

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 275,060,159, 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.

1 275,060,159
-1 -275,060,159

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 275,060,159.

Example:
1 x 275,060,159 = 275,060,159
and
-1 x -275,060,159 = 275,060,159
Notice both answers equal 275,060,159

With that explanation out of the way, let's continue. Next, we take the number 275,060,159 and divide it by 2:

275,060,159 ÷ 2 = 137,530,079.5

If the quotient is a whole number, then 2 and 137,530,079.5 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:

1 275,060,159
-1 -275,060,159

Now, we try dividing 275,060,159 by 3:

275,060,159 ÷ 3 = 91,686,719.6667

If the quotient is a whole number, then 3 and 91,686,719.6667 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:

1 275,060,159
-1 -275,060,159

Let's try dividing by 4:

275,060,159 ÷ 4 = 68,765,039.75

If the quotient is a whole number, then 4 and 68,765,039.75 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:

1 275,060,159
-1 275,060,159
Keep dividing by the next highest number until you cannot divide anymore.

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

1111,60915,54117,699170,95125,005,469275,060,159
-1-11-1,609-15,541-17,699-170,951-25,005,469-275,060,159

More Examples

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