Q: What are the factor combinations of the number 55,560,125?

 A:
Positive:   1 x 555601255 x 1111202525 x 222240537 x 150162541 x 1355125125 x 444481185 x 300325205 x 271025293 x 189625925 x 600651025 x 542051465 x 379251517 x 366254625 x 120135125 x 108417325 x 7585
Negative: -1 x -55560125-5 x -11112025-25 x -2222405-37 x -1501625-41 x -1355125-125 x -444481-185 x -300325-205 x -271025-293 x -189625-925 x -60065-1025 x -54205-1465 x -37925-1517 x -36625-4625 x -12013-5125 x -10841-7325 x -7585


How do I find the factor combinations of the number 55,560,125?

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 55,560,125, 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 55,560,125
-1 -55,560,125

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 55,560,125.

Example:
1 x 55,560,125 = 55,560,125
and
-1 x -55,560,125 = 55,560,125
Notice both answers equal 55,560,125

With that explanation out of the way, let's continue. Next, we take the number 55,560,125 and divide it by 2:

55,560,125 ÷ 2 = 27,780,062.5

If the quotient is a whole number, then 2 and 27,780,062.5 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 55,560,125
-1 -55,560,125

Now, we try dividing 55,560,125 by 3:

55,560,125 ÷ 3 = 18,520,041.6667

If the quotient is a whole number, then 3 and 18,520,041.6667 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 55,560,125
-1 -55,560,125

Let's try dividing by 4:

55,560,125 ÷ 4 = 13,890,031.25

If the quotient is a whole number, then 4 and 13,890,031.25 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 55,560,125
-1 55,560,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152537411251852052939251,0251,4651,5174,6255,1257,3257,58510,84112,01336,62537,92554,20560,065189,625271,025300,325444,4811,355,1251,501,6252,222,40511,112,02555,560,125
-1-5-25-37-41-125-185-205-293-925-1,025-1,465-1,517-4,625-5,125-7,325-7,585-10,841-12,013-36,625-37,925-54,205-60,065-189,625-271,025-300,325-444,481-1,355,125-1,501,625-2,222,405-11,112,025-55,560,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,560,125:


Ask a Question