Q: What are the factor combinations of the number 55,555,205?

 A:
Positive:   1 x 555552055 x 1111104141 x 1355005205 x 271001457 x 121565593 x 936852285 x 243132965 x 18737
Negative: -1 x -55555205-5 x -11111041-41 x -1355005-205 x -271001-457 x -121565-593 x -93685-2285 x -24313-2965 x -18737


How do I find the factor combinations of the number 55,555,205?

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 55,555,205, 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 55,555,205
-1 -55,555,205

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 55,555,205.

Example:
1 x 55,555,205 = 55,555,205
and
-1 x -55,555,205 = 55,555,205
Notice both answers equal 55,555,205

With that explanation out of the way, let's continue. Next, we take the number 55,555,205 and divide it by 2:

55,555,205 ÷ 2 = 27,777,602.5

If the quotient is a whole number, then 2 and 27,777,602.5 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 55,555,205
-1 -55,555,205

Now, we try dividing 55,555,205 by 3:

55,555,205 ÷ 3 = 18,518,401.6667

If the quotient is a whole number, then 3 and 18,518,401.6667 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 55,555,205
-1 -55,555,205

Let's try dividing by 4:

55,555,205 ÷ 4 = 13,888,801.25

If the quotient is a whole number, then 4 and 13,888,801.25 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 55,555,205
-1 55,555,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15412054575932,2852,96518,73724,31393,685121,565271,0011,355,00511,111,04155,555,205
-1-5-41-205-457-593-2,285-2,965-18,737-24,313-93,685-121,565-271,001-1,355,005-11,111,041-55,555,205

More Examples

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