Q: What are the factor combinations of the number 55,627,273?

 A:
Positive:   1 x 5562727313 x 427902147 x 1183559181 x 307333503 x 110591611 x 910432353 x 236416539 x 8507
Negative: -1 x -55627273-13 x -4279021-47 x -1183559-181 x -307333-503 x -110591-611 x -91043-2353 x -23641-6539 x -8507


How do I find the factor combinations of the number 55,627,273?

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 55,627,273, 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 55,627,273
-1 -55,627,273

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 55,627,273.

Example:
1 x 55,627,273 = 55,627,273
and
-1 x -55,627,273 = 55,627,273
Notice both answers equal 55,627,273

With that explanation out of the way, let's continue. Next, we take the number 55,627,273 and divide it by 2:

55,627,273 ÷ 2 = 27,813,636.5

If the quotient is a whole number, then 2 and 27,813,636.5 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 55,627,273
-1 -55,627,273

Now, we try dividing 55,627,273 by 3:

55,627,273 ÷ 3 = 18,542,424.3333

If the quotient is a whole number, then 3 and 18,542,424.3333 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 55,627,273
-1 -55,627,273

Let's try dividing by 4:

55,627,273 ÷ 4 = 13,906,818.25

If the quotient is a whole number, then 4 and 13,906,818.25 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 55,627,273
-1 55,627,273
Keep dividing by the next highest number until you cannot divide anymore.

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

113471815036112,3536,5398,50723,64191,043110,591307,3331,183,5594,279,02155,627,273
-1-13-47-181-503-611-2,353-6,539-8,507-23,641-91,043-110,591-307,333-1,183,559-4,279,021-55,627,273

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