Q: What are the factor combinations of the number 51,522,155?

 A:
Positive:   1 x 515221555 x 1030443117 x 303071531 x 166200585 x 606143155 x 332401527 x 977652635 x 19553
Negative: -1 x -51522155-5 x -10304431-17 x -3030715-31 x -1662005-85 x -606143-155 x -332401-527 x -97765-2635 x -19553


How do I find the factor combinations of the number 51,522,155?

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 51,522,155, 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 51,522,155
-1 -51,522,155

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 51,522,155.

Example:
1 x 51,522,155 = 51,522,155
and
-1 x -51,522,155 = 51,522,155
Notice both answers equal 51,522,155

With that explanation out of the way, let's continue. Next, we take the number 51,522,155 and divide it by 2:

51,522,155 ÷ 2 = 25,761,077.5

If the quotient is a whole number, then 2 and 25,761,077.5 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 51,522,155
-1 -51,522,155

Now, we try dividing 51,522,155 by 3:

51,522,155 ÷ 3 = 17,174,051.6667

If the quotient is a whole number, then 3 and 17,174,051.6667 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 51,522,155
-1 -51,522,155

Let's try dividing by 4:

51,522,155 ÷ 4 = 12,880,538.75

If the quotient is a whole number, then 4 and 12,880,538.75 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 51,522,155
-1 51,522,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555272,63519,55397,765332,401606,1431,662,0053,030,71510,304,43151,522,155
-1-5-17-31-85-155-527-2,635-19,553-97,765-332,401-606,143-1,662,005-3,030,715-10,304,431-51,522,155

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