Q: What are the factor combinations of the number 54,523,021?

 A:
Positive:   1 x 545230217 x 778900359 x 92411997 x 562093413 x 132017679 x 802991361 x 400615723 x 9527
Negative: -1 x -54523021-7 x -7789003-59 x -924119-97 x -562093-413 x -132017-679 x -80299-1361 x -40061-5723 x -9527


How do I find the factor combinations of the number 54,523,021?

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 54,523,021, 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 54,523,021
-1 -54,523,021

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 54,523,021.

Example:
1 x 54,523,021 = 54,523,021
and
-1 x -54,523,021 = 54,523,021
Notice both answers equal 54,523,021

With that explanation out of the way, let's continue. Next, we take the number 54,523,021 and divide it by 2:

54,523,021 ÷ 2 = 27,261,510.5

If the quotient is a whole number, then 2 and 27,261,510.5 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 54,523,021
-1 -54,523,021

Now, we try dividing 54,523,021 by 3:

54,523,021 ÷ 3 = 18,174,340.3333

If the quotient is a whole number, then 3 and 18,174,340.3333 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 54,523,021
-1 -54,523,021

Let's try dividing by 4:

54,523,021 ÷ 4 = 13,630,755.25

If the quotient is a whole number, then 4 and 13,630,755.25 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 54,523,021
-1 54,523,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1759974136791,3615,7239,52740,06180,299132,017562,093924,1197,789,00354,523,021
-1-7-59-97-413-679-1,361-5,723-9,527-40,061-80,299-132,017-562,093-924,119-7,789,003-54,523,021

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