Q: What are the factor combinations of the number 55,621,705?

 A:
Positive:   1 x 556217055 x 1112434117 x 327186523 x 241833585 x 654373115 x 483667391 x 142255529 x 1051451237 x 449651955 x 284512645 x 210296185 x 8993
Negative: -1 x -55621705-5 x -11124341-17 x -3271865-23 x -2418335-85 x -654373-115 x -483667-391 x -142255-529 x -105145-1237 x -44965-1955 x -28451-2645 x -21029-6185 x -8993


How do I find the factor combinations of the number 55,621,705?

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 55,621,705, 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 55,621,705
-1 -55,621,705

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 55,621,705.

Example:
1 x 55,621,705 = 55,621,705
and
-1 x -55,621,705 = 55,621,705
Notice both answers equal 55,621,705

With that explanation out of the way, let's continue. Next, we take the number 55,621,705 and divide it by 2:

55,621,705 ÷ 2 = 27,810,852.5

If the quotient is a whole number, then 2 and 27,810,852.5 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 55,621,705
-1 -55,621,705

Now, we try dividing 55,621,705 by 3:

55,621,705 ÷ 3 = 18,540,568.3333

If the quotient is a whole number, then 3 and 18,540,568.3333 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 55,621,705
-1 -55,621,705

Let's try dividing by 4:

55,621,705 ÷ 4 = 13,905,426.25

If the quotient is a whole number, then 4 and 13,905,426.25 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 55,621,705
-1 55,621,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153915291,2371,9552,6456,1858,99321,02928,45144,965105,145142,255483,667654,3732,418,3353,271,86511,124,34155,621,705
-1-5-17-23-85-115-391-529-1,237-1,955-2,645-6,185-8,993-21,029-28,451-44,965-105,145-142,255-483,667-654,373-2,418,335-3,271,865-11,124,341-55,621,705

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