Q: What are the factor combinations of the number 110,122,355?

 A:
Positive:   1 x 1101223555 x 220244717 x 1573176535 x 314635343 x 256098549 x 2247395215 x 512197245 x 449479301 x 3658551505 x 731712107 x 5226510453 x 10535
Negative: -1 x -110122355-5 x -22024471-7 x -15731765-35 x -3146353-43 x -2560985-49 x -2247395-215 x -512197-245 x -449479-301 x -365855-1505 x -73171-2107 x -52265-10453 x -10535


How do I find the factor combinations of the number 110,122,355?

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 110,122,355, 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.

1 110,122,355
-1 -110,122,355

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 110,122,355.

Example:
1 x 110,122,355 = 110,122,355
and
-1 x -110,122,355 = 110,122,355
Notice both answers equal 110,122,355

With that explanation out of the way, let's continue. Next, we take the number 110,122,355 and divide it by 2:

110,122,355 ÷ 2 = 55,061,177.5

If the quotient is a whole number, then 2 and 55,061,177.5 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:

1 110,122,355
-1 -110,122,355

Now, we try dividing 110,122,355 by 3:

110,122,355 ÷ 3 = 36,707,451.6667

If the quotient is a whole number, then 3 and 36,707,451.6667 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:

1 110,122,355
-1 -110,122,355

Let's try dividing by 4:

110,122,355 ÷ 4 = 27,530,588.75

If the quotient is a whole number, then 4 and 27,530,588.75 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:

1 110,122,355
-1 110,122,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543492152453011,5052,10710,45310,53552,26573,171365,855449,479512,1972,247,3952,560,9853,146,35315,731,76522,024,471110,122,355
-1-5-7-35-43-49-215-245-301-1,505-2,107-10,453-10,535-52,265-73,171-365,855-449,479-512,197-2,247,395-2,560,985-3,146,353-15,731,765-22,024,471-110,122,355

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