Q: What are the factor combinations of the number 55,775,875?

 A:
Positive:   1 x 557758755 x 1115517525 x 223103553 x 1052375125 x 446207265 x 2104751325 x 420956625 x 8419
Negative: -1 x -55775875-5 x -11155175-25 x -2231035-53 x -1052375-125 x -446207-265 x -210475-1325 x -42095-6625 x -8419


How do I find the factor combinations of the number 55,775,875?

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 55,775,875, 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 55,775,875
-1 -55,775,875

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 55,775,875.

Example:
1 x 55,775,875 = 55,775,875
and
-1 x -55,775,875 = 55,775,875
Notice both answers equal 55,775,875

With that explanation out of the way, let's continue. Next, we take the number 55,775,875 and divide it by 2:

55,775,875 ÷ 2 = 27,887,937.5

If the quotient is a whole number, then 2 and 27,887,937.5 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 55,775,875
-1 -55,775,875

Now, we try dividing 55,775,875 by 3:

55,775,875 ÷ 3 = 18,591,958.3333

If the quotient is a whole number, then 3 and 18,591,958.3333 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 55,775,875
-1 -55,775,875

Let's try dividing by 4:

55,775,875 ÷ 4 = 13,943,968.75

If the quotient is a whole number, then 4 and 13,943,968.75 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 55,775,875
-1 55,775,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,6258,41942,095210,475446,2071,052,3752,231,03511,155,17555,775,875
-1-5-25-53-125-265-1,325-6,625-8,419-42,095-210,475-446,207-1,052,375-2,231,035-11,155,175-55,775,875

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