Q: What are the factor combinations of the number 55,387,535?

 A:
Positive:   1 x 553875355 x 110775077 x 791250529 x 190991535 x 1582501145 x 381983197 x 281155203 x 272845277 x 199955985 x 562311015 x 545691379 x 401651385 x 399911939 x 285655713 x 96956895 x 8033
Negative: -1 x -55387535-5 x -11077507-7 x -7912505-29 x -1909915-35 x -1582501-145 x -381983-197 x -281155-203 x -272845-277 x -199955-985 x -56231-1015 x -54569-1379 x -40165-1385 x -39991-1939 x -28565-5713 x -9695-6895 x -8033


How do I find the factor combinations of the number 55,387,535?

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 55,387,535, 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 55,387,535
-1 -55,387,535

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 55,387,535.

Example:
1 x 55,387,535 = 55,387,535
and
-1 x -55,387,535 = 55,387,535
Notice both answers equal 55,387,535

With that explanation out of the way, let's continue. Next, we take the number 55,387,535 and divide it by 2:

55,387,535 ÷ 2 = 27,693,767.5

If the quotient is a whole number, then 2 and 27,693,767.5 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 55,387,535
-1 -55,387,535

Now, we try dividing 55,387,535 by 3:

55,387,535 ÷ 3 = 18,462,511.6667

If the quotient is a whole number, then 3 and 18,462,511.6667 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 55,387,535
-1 -55,387,535

Let's try dividing by 4:

55,387,535 ÷ 4 = 13,846,883.75

If the quotient is a whole number, then 4 and 13,846,883.75 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 55,387,535
-1 55,387,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351451972032779851,0151,3791,3851,9395,7136,8958,0339,69528,56539,99140,16554,56956,231199,955272,845281,155381,9831,582,5011,909,9157,912,50511,077,50755,387,535
-1-5-7-29-35-145-197-203-277-985-1,015-1,379-1,385-1,939-5,713-6,895-8,033-9,695-28,565-39,991-40,165-54,569-56,231-199,955-272,845-281,155-381,983-1,582,501-1,909,915-7,912,505-11,077,507-55,387,535

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