Q: What are the factor combinations of the number 54,608,869?

 A:
Positive:   1 x 546088697 x 780126719 x 287415171 x 769139133 x 410593497 x 1098771349 x 404815783 x 9443
Negative: -1 x -54608869-7 x -7801267-19 x -2874151-71 x -769139-133 x -410593-497 x -109877-1349 x -40481-5783 x -9443


How do I find the factor combinations of the number 54,608,869?

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 54,608,869, 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 54,608,869
-1 -54,608,869

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 54,608,869.

Example:
1 x 54,608,869 = 54,608,869
and
-1 x -54,608,869 = 54,608,869
Notice both answers equal 54,608,869

With that explanation out of the way, let's continue. Next, we take the number 54,608,869 and divide it by 2:

54,608,869 ÷ 2 = 27,304,434.5

If the quotient is a whole number, then 2 and 27,304,434.5 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 54,608,869
-1 -54,608,869

Now, we try dividing 54,608,869 by 3:

54,608,869 ÷ 3 = 18,202,956.3333

If the quotient is a whole number, then 3 and 18,202,956.3333 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 54,608,869
-1 -54,608,869

Let's try dividing by 4:

54,608,869 ÷ 4 = 13,652,217.25

If the quotient is a whole number, then 4 and 13,652,217.25 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 54,608,869
-1 54,608,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1719711334971,3495,7839,44340,481109,877410,593769,1392,874,1517,801,26754,608,869
-1-7-19-71-133-497-1,349-5,783-9,443-40,481-109,877-410,593-769,139-2,874,151-7,801,267-54,608,869

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