Q: What are the factor combinations of the number 56,555,705?

 A:
Positive:   1 x 565557055 x 1131114167 x 84411579 x 715895335 x 168823395 x 1431792137 x 264655293 x 10685
Negative: -1 x -56555705-5 x -11311141-67 x -844115-79 x -715895-335 x -168823-395 x -143179-2137 x -26465-5293 x -10685


How do I find the factor combinations of the number 56,555,705?

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 56,555,705, 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 56,555,705
-1 -56,555,705

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 56,555,705.

Example:
1 x 56,555,705 = 56,555,705
and
-1 x -56,555,705 = 56,555,705
Notice both answers equal 56,555,705

With that explanation out of the way, let's continue. Next, we take the number 56,555,705 and divide it by 2:

56,555,705 ÷ 2 = 28,277,852.5

If the quotient is a whole number, then 2 and 28,277,852.5 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 56,555,705
-1 -56,555,705

Now, we try dividing 56,555,705 by 3:

56,555,705 ÷ 3 = 18,851,901.6667

If the quotient is a whole number, then 3 and 18,851,901.6667 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 56,555,705
-1 -56,555,705

Let's try dividing by 4:

56,555,705 ÷ 4 = 14,138,926.25

If the quotient is a whole number, then 4 and 14,138,926.25 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 56,555,705
-1 56,555,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1567793353952,1375,29310,68526,465143,179168,823715,895844,11511,311,14156,555,705
-1-5-67-79-335-395-2,137-5,293-10,685-26,465-143,179-168,823-715,895-844,115-11,311,141-56,555,705

More Examples

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