Q: What are the factor combinations of the number 55,234,355?

 A:
Positive:   1 x 552343555 x 1104687111 x 502130555 x 100426173 x 756635365 x 151327803 x 687854015 x 13757
Negative: -1 x -55234355-5 x -11046871-11 x -5021305-55 x -1004261-73 x -756635-365 x -151327-803 x -68785-4015 x -13757


How do I find the factor combinations of the number 55,234,355?

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 55,234,355, 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 55,234,355
-1 -55,234,355

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 55,234,355.

Example:
1 x 55,234,355 = 55,234,355
and
-1 x -55,234,355 = 55,234,355
Notice both answers equal 55,234,355

With that explanation out of the way, let's continue. Next, we take the number 55,234,355 and divide it by 2:

55,234,355 ÷ 2 = 27,617,177.5

If the quotient is a whole number, then 2 and 27,617,177.5 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 55,234,355
-1 -55,234,355

Now, we try dividing 55,234,355 by 3:

55,234,355 ÷ 3 = 18,411,451.6667

If the quotient is a whole number, then 3 and 18,411,451.6667 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 55,234,355
-1 -55,234,355

Let's try dividing by 4:

55,234,355 ÷ 4 = 13,808,588.75

If the quotient is a whole number, then 4 and 13,808,588.75 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 55,234,355
-1 55,234,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733658034,01513,75768,785151,327756,6351,004,2615,021,30511,046,87155,234,355
-1-5-11-55-73-365-803-4,015-13,757-68,785-151,327-756,635-1,004,261-5,021,305-11,046,871-55,234,355

More Examples

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