Q: What are the factor combinations of the number 273,077,651?

 A:
Positive:   1 x 2730776517 x 3901109311 x 2482524177 x 3546463523 x 5221373661 x 745915753 x 474676781 x 40271
Negative: -1 x -273077651-7 x -39011093-11 x -24825241-77 x -3546463-523 x -522137-3661 x -74591-5753 x -47467-6781 x -40271


How do I find the factor combinations of the number 273,077,651?

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 273,077,651, 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.

1 273,077,651
-1 -273,077,651

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 273,077,651.

Example:
1 x 273,077,651 = 273,077,651
and
-1 x -273,077,651 = 273,077,651
Notice both answers equal 273,077,651

With that explanation out of the way, let's continue. Next, we take the number 273,077,651 and divide it by 2:

273,077,651 ÷ 2 = 136,538,825.5

If the quotient is a whole number, then 2 and 136,538,825.5 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:

1 273,077,651
-1 -273,077,651

Now, we try dividing 273,077,651 by 3:

273,077,651 ÷ 3 = 91,025,883.6667

If the quotient is a whole number, then 3 and 91,025,883.6667 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:

1 273,077,651
-1 -273,077,651

Let's try dividing by 4:

273,077,651 ÷ 4 = 68,269,412.75

If the quotient is a whole number, then 4 and 68,269,412.75 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:

1 273,077,651
-1 273,077,651
Keep dividing by the next highest number until you cannot divide anymore.

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

1711775233,6615,7536,78140,27147,46774,591522,1373,546,46324,825,24139,011,093273,077,651
-1-7-11-77-523-3,661-5,753-6,781-40,271-47,467-74,591-522,137-3,546,463-24,825,241-39,011,093-273,077,651

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