Q: What are the factor combinations of the number 55,511,443?

 A:
Positive:   1 x 5551144313 x 427011117 x 326537923 x 241354167 x 828529163 x 340561221 x 251183299 x 185657391 x 141973871 x 637331139 x 487371541 x 360232119 x 261972771 x 200333749 x 148075083 x 10921
Negative: -1 x -55511443-13 x -4270111-17 x -3265379-23 x -2413541-67 x -828529-163 x -340561-221 x -251183-299 x -185657-391 x -141973-871 x -63733-1139 x -48737-1541 x -36023-2119 x -26197-2771 x -20033-3749 x -14807-5083 x -10921


How do I find the factor combinations of the number 55,511,443?

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 55,511,443, 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 55,511,443
-1 -55,511,443

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 55,511,443.

Example:
1 x 55,511,443 = 55,511,443
and
-1 x -55,511,443 = 55,511,443
Notice both answers equal 55,511,443

With that explanation out of the way, let's continue. Next, we take the number 55,511,443 and divide it by 2:

55,511,443 ÷ 2 = 27,755,721.5

If the quotient is a whole number, then 2 and 27,755,721.5 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 55,511,443
-1 -55,511,443

Now, we try dividing 55,511,443 by 3:

55,511,443 ÷ 3 = 18,503,814.3333

If the quotient is a whole number, then 3 and 18,503,814.3333 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 55,511,443
-1 -55,511,443

Let's try dividing by 4:

55,511,443 ÷ 4 = 13,877,860.75

If the quotient is a whole number, then 4 and 13,877,860.75 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 55,511,443
-1 55,511,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1131723671632212993918711,1391,5412,1192,7713,7495,08310,92114,80720,03326,19736,02348,73763,733141,973185,657251,183340,561828,5292,413,5413,265,3794,270,11155,511,443
-1-13-17-23-67-163-221-299-391-871-1,139-1,541-2,119-2,771-3,749-5,083-10,921-14,807-20,033-26,197-36,023-48,737-63,733-141,973-185,657-251,183-340,561-828,529-2,413,541-3,265,379-4,270,111-55,511,443

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