Q: What are the factor combinations of the number 55,820,335?

 A:
Positive:   1 x 558203355 x 11164067103 x 541945283 x 197245383 x 145745515 x 1083891415 x 394491915 x 29149
Negative: -1 x -55820335-5 x -11164067-103 x -541945-283 x -197245-383 x -145745-515 x -108389-1415 x -39449-1915 x -29149


How do I find the factor combinations of the number 55,820,335?

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 55,820,335, 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 55,820,335
-1 -55,820,335

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 55,820,335.

Example:
1 x 55,820,335 = 55,820,335
and
-1 x -55,820,335 = 55,820,335
Notice both answers equal 55,820,335

With that explanation out of the way, let's continue. Next, we take the number 55,820,335 and divide it by 2:

55,820,335 ÷ 2 = 27,910,167.5

If the quotient is a whole number, then 2 and 27,910,167.5 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 55,820,335
-1 -55,820,335

Now, we try dividing 55,820,335 by 3:

55,820,335 ÷ 3 = 18,606,778.3333

If the quotient is a whole number, then 3 and 18,606,778.3333 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 55,820,335
-1 -55,820,335

Let's try dividing by 4:

55,820,335 ÷ 4 = 13,955,083.75

If the quotient is a whole number, then 4 and 13,955,083.75 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 55,820,335
-1 55,820,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151032833835151,4151,91529,14939,449108,389145,745197,245541,94511,164,06755,820,335
-1-5-103-283-383-515-1,415-1,915-29,149-39,449-108,389-145,745-197,245-541,945-11,164,067-55,820,335

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