Q: What are the factor combinations of the number 54,434,021?

 A:
Positive:   1 x 5443402153 x 102705761 x 892361113 x 481717149 x 3653293233 x 168375989 x 90896893 x 7897
Negative: -1 x -54434021-53 x -1027057-61 x -892361-113 x -481717-149 x -365329-3233 x -16837-5989 x -9089-6893 x -7897


How do I find the factor combinations of the number 54,434,021?

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 54,434,021, 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 54,434,021
-1 -54,434,021

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 54,434,021.

Example:
1 x 54,434,021 = 54,434,021
and
-1 x -54,434,021 = 54,434,021
Notice both answers equal 54,434,021

With that explanation out of the way, let's continue. Next, we take the number 54,434,021 and divide it by 2:

54,434,021 ÷ 2 = 27,217,010.5

If the quotient is a whole number, then 2 and 27,217,010.5 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 54,434,021
-1 -54,434,021

Now, we try dividing 54,434,021 by 3:

54,434,021 ÷ 3 = 18,144,673.6667

If the quotient is a whole number, then 3 and 18,144,673.6667 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 54,434,021
-1 -54,434,021

Let's try dividing by 4:

54,434,021 ÷ 4 = 13,608,505.25

If the quotient is a whole number, then 4 and 13,608,505.25 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 54,434,021
-1 54,434,021
Keep dividing by the next highest number until you cannot divide anymore.

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

153611131493,2335,9896,8937,8979,08916,837365,329481,717892,3611,027,05754,434,021
-1-53-61-113-149-3,233-5,989-6,893-7,897-9,089-16,837-365,329-481,717-892,361-1,027,057-54,434,021

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