Q: What are the factor combinations of the number 54,143,855?

 A:
Positive:   1 x 541438555 x 108287712161 x 250555011 x 10805
Negative: -1 x -54143855-5 x -10828771-2161 x -25055-5011 x -10805


How do I find the factor combinations of the number 54,143,855?

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 54,143,855, 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 54,143,855
-1 -54,143,855

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 54,143,855.

Example:
1 x 54,143,855 = 54,143,855
and
-1 x -54,143,855 = 54,143,855
Notice both answers equal 54,143,855

With that explanation out of the way, let's continue. Next, we take the number 54,143,855 and divide it by 2:

54,143,855 ÷ 2 = 27,071,927.5

If the quotient is a whole number, then 2 and 27,071,927.5 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 54,143,855
-1 -54,143,855

Now, we try dividing 54,143,855 by 3:

54,143,855 ÷ 3 = 18,047,951.6667

If the quotient is a whole number, then 3 and 18,047,951.6667 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 54,143,855
-1 -54,143,855

Let's try dividing by 4:

54,143,855 ÷ 4 = 13,535,963.75

If the quotient is a whole number, then 4 and 13,535,963.75 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 54,143,855
-1 54,143,855
Keep dividing by the next highest number until you cannot divide anymore.

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

152,1615,01110,80525,05510,828,77154,143,855
-1-5-2,161-5,011-10,805-25,055-10,828,771-54,143,855

More Examples

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