Q: What are the factor combinations of the number 54,016,765?

 A:
Positive:   1 x 540167655 x 1080335311 x 491061523 x 234855555 x 982123115 x 469711253 x 2135051265 x 42701
Negative: -1 x -54016765-5 x -10803353-11 x -4910615-23 x -2348555-55 x -982123-115 x -469711-253 x -213505-1265 x -42701


How do I find the factor combinations of the number 54,016,765?

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 54,016,765, 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 54,016,765
-1 -54,016,765

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 54,016,765.

Example:
1 x 54,016,765 = 54,016,765
and
-1 x -54,016,765 = 54,016,765
Notice both answers equal 54,016,765

With that explanation out of the way, let's continue. Next, we take the number 54,016,765 and divide it by 2:

54,016,765 ÷ 2 = 27,008,382.5

If the quotient is a whole number, then 2 and 27,008,382.5 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 54,016,765
-1 -54,016,765

Now, we try dividing 54,016,765 by 3:

54,016,765 ÷ 3 = 18,005,588.3333

If the quotient is a whole number, then 3 and 18,005,588.3333 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 54,016,765
-1 -54,016,765

Let's try dividing by 4:

54,016,765 ÷ 4 = 13,504,191.25

If the quotient is a whole number, then 4 and 13,504,191.25 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 54,016,765
-1 54,016,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26542,701213,505469,711982,1232,348,5554,910,61510,803,35354,016,765
-1-5-11-23-55-115-253-1,265-42,701-213,505-469,711-982,123-2,348,555-4,910,615-10,803,353-54,016,765

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