Q: What are the factor combinations of the number 273,765,271?

 A:
Positive:   1 x 27376527113 x 2105886747 x 5824793167 x 1639313611 x 4480612171 x 1261012683 x 1020377849 x 34879
Negative: -1 x -273765271-13 x -21058867-47 x -5824793-167 x -1639313-611 x -448061-2171 x -126101-2683 x -102037-7849 x -34879


How do I find the factor combinations of the number 273,765,271?

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 273,765,271, 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.

1 273,765,271
-1 -273,765,271

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 273,765,271.

Example:
1 x 273,765,271 = 273,765,271
and
-1 x -273,765,271 = 273,765,271
Notice both answers equal 273,765,271

With that explanation out of the way, let's continue. Next, we take the number 273,765,271 and divide it by 2:

273,765,271 ÷ 2 = 136,882,635.5

If the quotient is a whole number, then 2 and 136,882,635.5 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:

1 273,765,271
-1 -273,765,271

Now, we try dividing 273,765,271 by 3:

273,765,271 ÷ 3 = 91,255,090.3333

If the quotient is a whole number, then 3 and 91,255,090.3333 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:

1 273,765,271
-1 -273,765,271

Let's try dividing by 4:

273,765,271 ÷ 4 = 68,441,317.75

If the quotient is a whole number, then 4 and 68,441,317.75 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:

1 273,765,271
-1 273,765,271
Keep dividing by the next highest number until you cannot divide anymore.

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

113471676112,1712,6837,84934,879102,037126,101448,0611,639,3135,824,79321,058,867273,765,271
-1-13-47-167-611-2,171-2,683-7,849-34,879-102,037-126,101-448,061-1,639,313-5,824,793-21,058,867-273,765,271

More Examples

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