Q: What are the factor combinations of the number 55,831,237?

 A:
Positive:   1 x 558312377 x 797589111 x 507556749 x 113941377 x 725081539 x 103583
Negative: -1 x -55831237-7 x -7975891-11 x -5075567-49 x -1139413-77 x -725081-539 x -103583


How do I find the factor combinations of the number 55,831,237?

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 55,831,237, 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 55,831,237
-1 -55,831,237

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 55,831,237.

Example:
1 x 55,831,237 = 55,831,237
and
-1 x -55,831,237 = 55,831,237
Notice both answers equal 55,831,237

With that explanation out of the way, let's continue. Next, we take the number 55,831,237 and divide it by 2:

55,831,237 ÷ 2 = 27,915,618.5

If the quotient is a whole number, then 2 and 27,915,618.5 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 55,831,237
-1 -55,831,237

Now, we try dividing 55,831,237 by 3:

55,831,237 ÷ 3 = 18,610,412.3333

If the quotient is a whole number, then 3 and 18,610,412.3333 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 55,831,237
-1 -55,831,237

Let's try dividing by 4:

55,831,237 ÷ 4 = 13,957,809.25

If the quotient is a whole number, then 4 and 13,957,809.25 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 55,831,237
-1 55,831,237
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977539103,583725,0811,139,4135,075,5677,975,89155,831,237
-1-7-11-49-77-539-103,583-725,081-1,139,413-5,075,567-7,975,891-55,831,237

More Examples

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