Q: What are the factor combinations of the number 51,431,015?

 A:
Positive:   1 x 514310155 x 1028620331 x 165906541 x 1254415155 x 331813205 x 2508831271 x 404656355 x 8093
Negative: -1 x -51431015-5 x -10286203-31 x -1659065-41 x -1254415-155 x -331813-205 x -250883-1271 x -40465-6355 x -8093


How do I find the factor combinations of the number 51,431,015?

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 51,431,015, 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 51,431,015
-1 -51,431,015

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 51,431,015.

Example:
1 x 51,431,015 = 51,431,015
and
-1 x -51,431,015 = 51,431,015
Notice both answers equal 51,431,015

With that explanation out of the way, let's continue. Next, we take the number 51,431,015 and divide it by 2:

51,431,015 ÷ 2 = 25,715,507.5

If the quotient is a whole number, then 2 and 25,715,507.5 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 51,431,015
-1 -51,431,015

Now, we try dividing 51,431,015 by 3:

51,431,015 ÷ 3 = 17,143,671.6667

If the quotient is a whole number, then 3 and 17,143,671.6667 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 51,431,015
-1 -51,431,015

Let's try dividing by 4:

51,431,015 ÷ 4 = 12,857,753.75

If the quotient is a whole number, then 4 and 12,857,753.75 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 51,431,015
-1 51,431,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1531411552051,2716,3558,09340,465250,883331,8131,254,4151,659,06510,286,20351,431,015
-1-5-31-41-155-205-1,271-6,355-8,093-40,465-250,883-331,813-1,254,415-1,659,065-10,286,203-51,431,015

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