Q: What are the factor combinations of the number 54,331,145?

 A:
Positive:   1 x 543311455 x 1086622911 x 493919543 x 126351555 x 987839215 x 252703473 x 1148652365 x 22973
Negative: -1 x -54331145-5 x -10866229-11 x -4939195-43 x -1263515-55 x -987839-215 x -252703-473 x -114865-2365 x -22973


How do I find the factor combinations of the number 54,331,145?

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 54,331,145, 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 54,331,145
-1 -54,331,145

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 54,331,145.

Example:
1 x 54,331,145 = 54,331,145
and
-1 x -54,331,145 = 54,331,145
Notice both answers equal 54,331,145

With that explanation out of the way, let's continue. Next, we take the number 54,331,145 and divide it by 2:

54,331,145 ÷ 2 = 27,165,572.5

If the quotient is a whole number, then 2 and 27,165,572.5 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 54,331,145
-1 -54,331,145

Now, we try dividing 54,331,145 by 3:

54,331,145 ÷ 3 = 18,110,381.6667

If the quotient is a whole number, then 3 and 18,110,381.6667 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 54,331,145
-1 -54,331,145

Let's try dividing by 4:

54,331,145 ÷ 4 = 13,582,786.25

If the quotient is a whole number, then 4 and 13,582,786.25 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 54,331,145
-1 54,331,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,36522,973114,865252,703987,8391,263,5154,939,19510,866,22954,331,145
-1-5-11-43-55-215-473-2,365-22,973-114,865-252,703-987,839-1,263,515-4,939,195-10,866,229-54,331,145

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