Q: What are the factor combinations of the number 5,045,855?

 A:
Positive:   1 x 50458555 x 100917117 x 29681523 x 21938529 x 17399585 x 5936389 x 56695115 x 43877145 x 34799391 x 12905445 x 11339493 x 10235667 x 75651513 x 33351955 x 25812047 x 2465
Negative: -1 x -5045855-5 x -1009171-17 x -296815-23 x -219385-29 x -173995-85 x -59363-89 x -56695-115 x -43877-145 x -34799-391 x -12905-445 x -11339-493 x -10235-667 x -7565-1513 x -3335-1955 x -2581-2047 x -2465


How do I find the factor combinations of the number 5,045,855?

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 5,045,855, 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 5,045,855
-1 -5,045,855

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 5,045,855.

Example:
1 x 5,045,855 = 5,045,855
and
-1 x -5,045,855 = 5,045,855
Notice both answers equal 5,045,855

With that explanation out of the way, let's continue. Next, we take the number 5,045,855 and divide it by 2:

5,045,855 ÷ 2 = 2,522,927.5

If the quotient is a whole number, then 2 and 2,522,927.5 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 5,045,855
-1 -5,045,855

Now, we try dividing 5,045,855 by 3:

5,045,855 ÷ 3 = 1,681,951.6667

If the quotient is a whole number, then 3 and 1,681,951.6667 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 5,045,855
-1 -5,045,855

Let's try dividing by 4:

5,045,855 ÷ 4 = 1,261,463.75

If the quotient is a whole number, then 4 and 1,261,463.75 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 5,045,855
-1 5,045,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1517232985891151453914454936671,5131,9552,0472,4652,5813,3357,56510,23511,33912,90534,79943,87756,69559,363173,995219,385296,8151,009,1715,045,855
-1-5-17-23-29-85-89-115-145-391-445-493-667-1,513-1,955-2,047-2,465-2,581-3,335-7,565-10,235-11,339-12,905-34,799-43,877-56,695-59,363-173,995-219,385-296,815-1,009,171-5,045,855

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