Q: What are the factor combinations of the number 55,560,475?

 A:
Positive:   1 x 555604755 x 1111209525 x 222241989 x 624275445 x 1248552225 x 24971
Negative: -1 x -55560475-5 x -11112095-25 x -2222419-89 x -624275-445 x -124855-2225 x -24971


How do I find the factor combinations of the number 55,560,475?

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 55,560,475, 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 55,560,475
-1 -55,560,475

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 55,560,475.

Example:
1 x 55,560,475 = 55,560,475
and
-1 x -55,560,475 = 55,560,475
Notice both answers equal 55,560,475

With that explanation out of the way, let's continue. Next, we take the number 55,560,475 and divide it by 2:

55,560,475 ÷ 2 = 27,780,237.5

If the quotient is a whole number, then 2 and 27,780,237.5 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 55,560,475
-1 -55,560,475

Now, we try dividing 55,560,475 by 3:

55,560,475 ÷ 3 = 18,520,158.3333

If the quotient is a whole number, then 3 and 18,520,158.3333 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 55,560,475
-1 -55,560,475

Let's try dividing by 4:

55,560,475 ÷ 4 = 13,890,118.75

If the quotient is a whole number, then 4 and 13,890,118.75 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 55,560,475
-1 55,560,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1525894452,22524,971124,855624,2752,222,41911,112,09555,560,475
-1-5-25-89-445-2,225-24,971-124,855-624,275-2,222,419-11,112,095-55,560,475

More Examples

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