Q: What are the factor combinations of the number 55,078,249?

 A:
Positive:   1 x 5507824917 x 323989797 x 567817127 x 433687263 x 2094231649 x 334012159 x 255114471 x 12319
Negative: -1 x -55078249-17 x -3239897-97 x -567817-127 x -433687-263 x -209423-1649 x -33401-2159 x -25511-4471 x -12319


How do I find the factor combinations of the number 55,078,249?

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 55,078,249, 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 55,078,249
-1 -55,078,249

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 55,078,249.

Example:
1 x 55,078,249 = 55,078,249
and
-1 x -55,078,249 = 55,078,249
Notice both answers equal 55,078,249

With that explanation out of the way, let's continue. Next, we take the number 55,078,249 and divide it by 2:

55,078,249 ÷ 2 = 27,539,124.5

If the quotient is a whole number, then 2 and 27,539,124.5 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 55,078,249
-1 -55,078,249

Now, we try dividing 55,078,249 by 3:

55,078,249 ÷ 3 = 18,359,416.3333

If the quotient is a whole number, then 3 and 18,359,416.3333 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 55,078,249
-1 -55,078,249

Let's try dividing by 4:

55,078,249 ÷ 4 = 13,769,562.25

If the quotient is a whole number, then 4 and 13,769,562.25 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 55,078,249
-1 55,078,249
Keep dividing by the next highest number until you cannot divide anymore.

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

117971272631,6492,1594,47112,31925,51133,401209,423433,687567,8173,239,89755,078,249
-1-17-97-127-263-1,649-2,159-4,471-12,319-25,511-33,401-209,423-433,687-567,817-3,239,897-55,078,249

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