Q: What are the factor combinations of the number 273,122,045?

 A:
Positive:   1 x 2731220455 x 546244097 x 3901743535 x 78034871879 x 1453554153 x 657659395 x 2907113153 x 20765
Negative: -1 x -273122045-5 x -54624409-7 x -39017435-35 x -7803487-1879 x -145355-4153 x -65765-9395 x -29071-13153 x -20765


How do I find the factor combinations of the number 273,122,045?

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 273,122,045, 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.

1 273,122,045
-1 -273,122,045

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 273,122,045.

Example:
1 x 273,122,045 = 273,122,045
and
-1 x -273,122,045 = 273,122,045
Notice both answers equal 273,122,045

With that explanation out of the way, let's continue. Next, we take the number 273,122,045 and divide it by 2:

273,122,045 ÷ 2 = 136,561,022.5

If the quotient is a whole number, then 2 and 136,561,022.5 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:

1 273,122,045
-1 -273,122,045

Now, we try dividing 273,122,045 by 3:

273,122,045 ÷ 3 = 91,040,681.6667

If the quotient is a whole number, then 3 and 91,040,681.6667 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:

1 273,122,045
-1 -273,122,045

Let's try dividing by 4:

273,122,045 ÷ 4 = 68,280,511.25

If the quotient is a whole number, then 4 and 68,280,511.25 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:

1 273,122,045
-1 273,122,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,8794,1539,39513,15320,76529,07165,765145,3557,803,48739,017,43554,624,409273,122,045
-1-5-7-35-1,879-4,153-9,395-13,153-20,765-29,071-65,765-145,355-7,803,487-39,017,435-54,624,409-273,122,045

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