Q: What are the factor combinations of the number 517,862,423?

 A:
Positive:   1 x 51786242313 x 3983557119 x 27255917247 x 20966091117 x 4636191877 x 27589914521 x 3566321223 x 24401
Negative: -1 x -517862423-13 x -39835571-19 x -27255917-247 x -2096609-1117 x -463619-1877 x -275899-14521 x -35663-21223 x -24401


How do I find the factor combinations of the number 517,862,423?

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 517,862,423, 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.

1 517,862,423
-1 -517,862,423

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 517,862,423.

Example:
1 x 517,862,423 = 517,862,423
and
-1 x -517,862,423 = 517,862,423
Notice both answers equal 517,862,423

With that explanation out of the way, let's continue. Next, we take the number 517,862,423 and divide it by 2:

517,862,423 ÷ 2 = 258,931,211.5

If the quotient is a whole number, then 2 and 258,931,211.5 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:

1 517,862,423
-1 -517,862,423

Now, we try dividing 517,862,423 by 3:

517,862,423 ÷ 3 = 172,620,807.6667

If the quotient is a whole number, then 3 and 172,620,807.6667 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:

1 517,862,423
-1 -517,862,423

Let's try dividing by 4:

517,862,423 ÷ 4 = 129,465,605.75

If the quotient is a whole number, then 4 and 129,465,605.75 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:

1 517,862,423
-1 517,862,423
Keep dividing by the next highest number until you cannot divide anymore.

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

113192471,1171,87714,52121,22324,40135,663275,899463,6192,096,60927,255,91739,835,571517,862,423
-1-13-19-247-1,117-1,877-14,521-21,223-24,401-35,663-275,899-463,619-2,096,609-27,255,917-39,835,571-517,862,423

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