Q: What are the factor combinations of the number 55,560,605?

 A:
Positive:   1 x 555606055 x 11112121101 x 550105269 x 206545409 x 135845505 x 1100211345 x 413092045 x 27169
Negative: -1 x -55560605-5 x -11112121-101 x -550105-269 x -206545-409 x -135845-505 x -110021-1345 x -41309-2045 x -27169


How do I find the factor combinations of the number 55,560,605?

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 55,560,605, 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 55,560,605
-1 -55,560,605

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 55,560,605.

Example:
1 x 55,560,605 = 55,560,605
and
-1 x -55,560,605 = 55,560,605
Notice both answers equal 55,560,605

With that explanation out of the way, let's continue. Next, we take the number 55,560,605 and divide it by 2:

55,560,605 ÷ 2 = 27,780,302.5

If the quotient is a whole number, then 2 and 27,780,302.5 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 55,560,605
-1 -55,560,605

Now, we try dividing 55,560,605 by 3:

55,560,605 ÷ 3 = 18,520,201.6667

If the quotient is a whole number, then 3 and 18,520,201.6667 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 55,560,605
-1 -55,560,605

Let's try dividing by 4:

55,560,605 ÷ 4 = 13,890,151.25

If the quotient is a whole number, then 4 and 13,890,151.25 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 55,560,605
-1 55,560,605
Keep dividing by the next highest number until you cannot divide anymore.

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

151012694095051,3452,04527,16941,309110,021135,845206,545550,10511,112,12155,560,605
-1-5-101-269-409-505-1,345-2,045-27,169-41,309-110,021-135,845-206,545-550,105-11,112,121-55,560,605

More Examples

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