Q: What are the factor combinations of the number 55,235,455?

 A:
Positive:   1 x 552354555 x 1104709111 x 502140555 x 1004281443 x 1246852215 x 249372267 x 243654873 x 11335
Negative: -1 x -55235455-5 x -11047091-11 x -5021405-55 x -1004281-443 x -124685-2215 x -24937-2267 x -24365-4873 x -11335


How do I find the factor combinations of the number 55,235,455?

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 55,235,455, 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 55,235,455
-1 -55,235,455

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 55,235,455.

Example:
1 x 55,235,455 = 55,235,455
and
-1 x -55,235,455 = 55,235,455
Notice both answers equal 55,235,455

With that explanation out of the way, let's continue. Next, we take the number 55,235,455 and divide it by 2:

55,235,455 ÷ 2 = 27,617,727.5

If the quotient is a whole number, then 2 and 27,617,727.5 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 55,235,455
-1 -55,235,455

Now, we try dividing 55,235,455 by 3:

55,235,455 ÷ 3 = 18,411,818.3333

If the quotient is a whole number, then 3 and 18,411,818.3333 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 55,235,455
-1 -55,235,455

Let's try dividing by 4:

55,235,455 ÷ 4 = 13,808,863.75

If the quotient is a whole number, then 4 and 13,808,863.75 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 55,235,455
-1 55,235,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554432,2152,2674,87311,33524,36524,937124,6851,004,2815,021,40511,047,09155,235,455
-1-5-11-55-443-2,215-2,267-4,873-11,335-24,365-24,937-124,685-1,004,281-5,021,405-11,047,091-55,235,455

More Examples

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