Q: What are the factor combinations of the number 55,856,645?

 A:
Positive:   1 x 558566455 x 1117132913 x 429666517 x 328568565 x 85933385 x 657137221 x 2527451105 x 50549
Negative: -1 x -55856645-5 x -11171329-13 x -4296665-17 x -3285685-65 x -859333-85 x -657137-221 x -252745-1105 x -50549


How do I find the factor combinations of the number 55,856,645?

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 55,856,645, 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 55,856,645
-1 -55,856,645

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 55,856,645.

Example:
1 x 55,856,645 = 55,856,645
and
-1 x -55,856,645 = 55,856,645
Notice both answers equal 55,856,645

With that explanation out of the way, let's continue. Next, we take the number 55,856,645 and divide it by 2:

55,856,645 ÷ 2 = 27,928,322.5

If the quotient is a whole number, then 2 and 27,928,322.5 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 55,856,645
-1 -55,856,645

Now, we try dividing 55,856,645 by 3:

55,856,645 ÷ 3 = 18,618,881.6667

If the quotient is a whole number, then 3 and 18,618,881.6667 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 55,856,645
-1 -55,856,645

Let's try dividing by 4:

55,856,645 ÷ 4 = 13,964,161.25

If the quotient is a whole number, then 4 and 13,964,161.25 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 55,856,645
-1 55,856,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10550,549252,745657,137859,3333,285,6854,296,66511,171,32955,856,645
-1-5-13-17-65-85-221-1,105-50,549-252,745-657,137-859,333-3,285,685-4,296,665-11,171,329-55,856,645

More Examples

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