Q: What are the factor combinations of the number 273,842,045?

 A:
Positive:   1 x 2738420455 x 5476840979 x 3466355395 x 693271761 x 359845911 x 3005953805 x 719694555 x 60119
Negative: -1 x -273842045-5 x -54768409-79 x -3466355-395 x -693271-761 x -359845-911 x -300595-3805 x -71969-4555 x -60119


How do I find the factor combinations of the number 273,842,045?

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 273,842,045, 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.

1 273,842,045
-1 -273,842,045

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 273,842,045.

Example:
1 x 273,842,045 = 273,842,045
and
-1 x -273,842,045 = 273,842,045
Notice both answers equal 273,842,045

With that explanation out of the way, let's continue. Next, we take the number 273,842,045 and divide it by 2:

273,842,045 ÷ 2 = 136,921,022.5

If the quotient is a whole number, then 2 and 136,921,022.5 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:

1 273,842,045
-1 -273,842,045

Now, we try dividing 273,842,045 by 3:

273,842,045 ÷ 3 = 91,280,681.6667

If the quotient is a whole number, then 3 and 91,280,681.6667 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:

1 273,842,045
-1 -273,842,045

Let's try dividing by 4:

273,842,045 ÷ 4 = 68,460,511.25

If the quotient is a whole number, then 4 and 68,460,511.25 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:

1 273,842,045
-1 273,842,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15793957619113,8054,55560,11971,969300,595359,845693,2713,466,35554,768,409273,842,045
-1-5-79-395-761-911-3,805-4,555-60,119-71,969-300,595-359,845-693,271-3,466,355-54,768,409-273,842,045

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