Q: What are the factor combinations of the number 5,267,431?

 A:
Positive:   1 x 526743113 x 40518737 x 14236347 x 112073233 x 22607481 x 10951611 x 86211739 x 3029
Negative: -1 x -5267431-13 x -405187-37 x -142363-47 x -112073-233 x -22607-481 x -10951-611 x -8621-1739 x -3029


How do I find the factor combinations of the number 5,267,431?

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 5,267,431, 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 5,267,431
-1 -5,267,431

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 5,267,431.

Example:
1 x 5,267,431 = 5,267,431
and
-1 x -5,267,431 = 5,267,431
Notice both answers equal 5,267,431

With that explanation out of the way, let's continue. Next, we take the number 5,267,431 and divide it by 2:

5,267,431 ÷ 2 = 2,633,715.5

If the quotient is a whole number, then 2 and 2,633,715.5 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 5,267,431
-1 -5,267,431

Now, we try dividing 5,267,431 by 3:

5,267,431 ÷ 3 = 1,755,810.3333

If the quotient is a whole number, then 3 and 1,755,810.3333 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 5,267,431
-1 -5,267,431

Let's try dividing by 4:

5,267,431 ÷ 4 = 1,316,857.75

If the quotient is a whole number, then 4 and 1,316,857.75 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 5,267,431
-1 5,267,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11337472334816111,7393,0298,62110,95122,607112,073142,363405,1875,267,431
-1-13-37-47-233-481-611-1,739-3,029-8,621-10,951-22,607-112,073-142,363-405,187-5,267,431

More Examples

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