Q: What are the factor combinations of the number 51,031,271?

 A:
Positive:   1 x 5103127129 x 1759699547 x 932933217 x 15863
Negative: -1 x -51031271-29 x -1759699-547 x -93293-3217 x -15863


How do I find the factor combinations of the number 51,031,271?

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 51,031,271, 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 51,031,271
-1 -51,031,271

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 51,031,271.

Example:
1 x 51,031,271 = 51,031,271
and
-1 x -51,031,271 = 51,031,271
Notice both answers equal 51,031,271

With that explanation out of the way, let's continue. Next, we take the number 51,031,271 and divide it by 2:

51,031,271 ÷ 2 = 25,515,635.5

If the quotient is a whole number, then 2 and 25,515,635.5 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 51,031,271
-1 -51,031,271

Now, we try dividing 51,031,271 by 3:

51,031,271 ÷ 3 = 17,010,423.6667

If the quotient is a whole number, then 3 and 17,010,423.6667 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 51,031,271
-1 -51,031,271

Let's try dividing by 4:

51,031,271 ÷ 4 = 12,757,817.75

If the quotient is a whole number, then 4 and 12,757,817.75 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 51,031,271
-1 51,031,271
Keep dividing by the next highest number until you cannot divide anymore.

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

1295473,21715,86393,2931,759,69951,031,271
-1-29-547-3,217-15,863-93,293-1,759,699-51,031,271

More Examples

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