Q: What are the factor combinations of the number 5,045,821?

 A:
Positive:   1 x 504582111 x 45871117 x 296813121 x 41701187 x 26983223 x 226271331 x 37912057 x 2453
Negative: -1 x -5045821-11 x -458711-17 x -296813-121 x -41701-187 x -26983-223 x -22627-1331 x -3791-2057 x -2453


How do I find the factor combinations of the number 5,045,821?

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 5,045,821, 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 5,045,821
-1 -5,045,821

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 5,045,821.

Example:
1 x 5,045,821 = 5,045,821
and
-1 x -5,045,821 = 5,045,821
Notice both answers equal 5,045,821

With that explanation out of the way, let's continue. Next, we take the number 5,045,821 and divide it by 2:

5,045,821 ÷ 2 = 2,522,910.5

If the quotient is a whole number, then 2 and 2,522,910.5 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 5,045,821
-1 -5,045,821

Now, we try dividing 5,045,821 by 3:

5,045,821 ÷ 3 = 1,681,940.3333

If the quotient is a whole number, then 3 and 1,681,940.3333 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 5,045,821
-1 -5,045,821

Let's try dividing by 4:

5,045,821 ÷ 4 = 1,261,455.25

If the quotient is a whole number, then 4 and 1,261,455.25 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 5,045,821
-1 5,045,821
Keep dividing by the next highest number until you cannot divide anymore.

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

111171211872231,3312,0572,4533,79122,62726,98341,701296,813458,7115,045,821
-1-11-17-121-187-223-1,331-2,057-2,453-3,791-22,627-26,983-41,701-296,813-458,711-5,045,821

More Examples

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