Q: What are the factor combinations of the number 52,032,431?

 A:
Positive:   1 x 5203243111 x 473022119 x 273854947 x 1107073209 x 248959517 x 100643893 x 582675297 x 9823
Negative: -1 x -52032431-11 x -4730221-19 x -2738549-47 x -1107073-209 x -248959-517 x -100643-893 x -58267-5297 x -9823


How do I find the factor combinations of the number 52,032,431?

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 52,032,431, 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 52,032,431
-1 -52,032,431

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 52,032,431.

Example:
1 x 52,032,431 = 52,032,431
and
-1 x -52,032,431 = 52,032,431
Notice both answers equal 52,032,431

With that explanation out of the way, let's continue. Next, we take the number 52,032,431 and divide it by 2:

52,032,431 ÷ 2 = 26,016,215.5

If the quotient is a whole number, then 2 and 26,016,215.5 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 52,032,431
-1 -52,032,431

Now, we try dividing 52,032,431 by 3:

52,032,431 ÷ 3 = 17,344,143.6667

If the quotient is a whole number, then 3 and 17,344,143.6667 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 52,032,431
-1 -52,032,431

Let's try dividing by 4:

52,032,431 ÷ 4 = 13,008,107.75

If the quotient is a whole number, then 4 and 13,008,107.75 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 52,032,431
-1 52,032,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11119472095178935,2979,82358,267100,643248,9591,107,0732,738,5494,730,22152,032,431
-1-11-19-47-209-517-893-5,297-9,823-58,267-100,643-248,959-1,107,073-2,738,549-4,730,221-52,032,431

More Examples

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