Q: What are the factor combinations of the number 56,131,669?

 A:
Positive:   1 x 5613166911 x 510287931 x 181069997 x 578677341 x 1646091067 x 526071697 x 330773007 x 18667
Negative: -1 x -56131669-11 x -5102879-31 x -1810699-97 x -578677-341 x -164609-1067 x -52607-1697 x -33077-3007 x -18667


How do I find the factor combinations of the number 56,131,669?

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 56,131,669, 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 56,131,669
-1 -56,131,669

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 56,131,669.

Example:
1 x 56,131,669 = 56,131,669
and
-1 x -56,131,669 = 56,131,669
Notice both answers equal 56,131,669

With that explanation out of the way, let's continue. Next, we take the number 56,131,669 and divide it by 2:

56,131,669 ÷ 2 = 28,065,834.5

If the quotient is a whole number, then 2 and 28,065,834.5 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 56,131,669
-1 -56,131,669

Now, we try dividing 56,131,669 by 3:

56,131,669 ÷ 3 = 18,710,556.3333

If the quotient is a whole number, then 3 and 18,710,556.3333 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 56,131,669
-1 -56,131,669

Let's try dividing by 4:

56,131,669 ÷ 4 = 14,032,917.25

If the quotient is a whole number, then 4 and 14,032,917.25 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 56,131,669
-1 56,131,669
Keep dividing by the next highest number until you cannot divide anymore.

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

11131973411,0671,6973,00718,66733,07752,607164,609578,6771,810,6995,102,87956,131,669
-1-11-31-97-341-1,067-1,697-3,007-18,667-33,077-52,607-164,609-578,677-1,810,699-5,102,879-56,131,669

More Examples

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