Q: What are the factor combinations of the number 51,316,055?

 A:
Positive:   1 x 513160555 x 102632117 x 733086519 x 270084535 x 146617395 x 540169133 x 385835665 x 77167
Negative: -1 x -51316055-5 x -10263211-7 x -7330865-19 x -2700845-35 x -1466173-95 x -540169-133 x -385835-665 x -77167


How do I find the factor combinations of the number 51,316,055?

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 51,316,055, 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 51,316,055
-1 -51,316,055

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 51,316,055.

Example:
1 x 51,316,055 = 51,316,055
and
-1 x -51,316,055 = 51,316,055
Notice both answers equal 51,316,055

With that explanation out of the way, let's continue. Next, we take the number 51,316,055 and divide it by 2:

51,316,055 ÷ 2 = 25,658,027.5

If the quotient is a whole number, then 2 and 25,658,027.5 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 51,316,055
-1 -51,316,055

Now, we try dividing 51,316,055 by 3:

51,316,055 ÷ 3 = 17,105,351.6667

If the quotient is a whole number, then 3 and 17,105,351.6667 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 51,316,055
-1 -51,316,055

Let's try dividing by 4:

51,316,055 ÷ 4 = 12,829,013.75

If the quotient is a whole number, then 4 and 12,829,013.75 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 51,316,055
-1 51,316,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366577,167385,835540,1691,466,1732,700,8457,330,86510,263,21151,316,055
-1-5-7-19-35-95-133-665-77,167-385,835-540,169-1,466,173-2,700,845-7,330,865-10,263,211-51,316,055

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