Q: What are the factor combinations of the number 55,512,431?

 A:
Positive:   1 x 5551243113 x 427018779 x 702689191 x 290641283 x 1961571027 x 540532483 x 223573679 x 15089
Negative: -1 x -55512431-13 x -4270187-79 x -702689-191 x -290641-283 x -196157-1027 x -54053-2483 x -22357-3679 x -15089


How do I find the factor combinations of the number 55,512,431?

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 55,512,431, 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 55,512,431
-1 -55,512,431

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 55,512,431.

Example:
1 x 55,512,431 = 55,512,431
and
-1 x -55,512,431 = 55,512,431
Notice both answers equal 55,512,431

With that explanation out of the way, let's continue. Next, we take the number 55,512,431 and divide it by 2:

55,512,431 ÷ 2 = 27,756,215.5

If the quotient is a whole number, then 2 and 27,756,215.5 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 55,512,431
-1 -55,512,431

Now, we try dividing 55,512,431 by 3:

55,512,431 ÷ 3 = 18,504,143.6667

If the quotient is a whole number, then 3 and 18,504,143.6667 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 55,512,431
-1 -55,512,431

Let's try dividing by 4:

55,512,431 ÷ 4 = 13,878,107.75

If the quotient is a whole number, then 4 and 13,878,107.75 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 55,512,431
-1 55,512,431
Keep dividing by the next highest number until you cannot divide anymore.

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

113791912831,0272,4833,67915,08922,35754,053196,157290,641702,6894,270,18755,512,431
-1-13-79-191-283-1,027-2,483-3,679-15,089-22,357-54,053-196,157-290,641-702,689-4,270,187-55,512,431

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