Q: What are the factor combinations of the number 54,681,133?

 A:
Positive:   1 x 5468113313 x 4206241169 x 3235572197 x 24889
Negative: -1 x -54681133-13 x -4206241-169 x -323557-2197 x -24889


How do I find the factor combinations of the number 54,681,133?

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 54,681,133, 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 54,681,133
-1 -54,681,133

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 54,681,133.

Example:
1 x 54,681,133 = 54,681,133
and
-1 x -54,681,133 = 54,681,133
Notice both answers equal 54,681,133

With that explanation out of the way, let's continue. Next, we take the number 54,681,133 and divide it by 2:

54,681,133 ÷ 2 = 27,340,566.5

If the quotient is a whole number, then 2 and 27,340,566.5 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 54,681,133
-1 -54,681,133

Now, we try dividing 54,681,133 by 3:

54,681,133 ÷ 3 = 18,227,044.3333

If the quotient is a whole number, then 3 and 18,227,044.3333 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 54,681,133
-1 -54,681,133

Let's try dividing by 4:

54,681,133 ÷ 4 = 13,670,283.25

If the quotient is a whole number, then 4 and 13,670,283.25 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 54,681,133
-1 54,681,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1131692,19724,889323,5574,206,24154,681,133
-1-13-169-2,197-24,889-323,557-4,206,241-54,681,133

More Examples

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