Q: What are the factor combinations of the number 5,117,431?

 A:
Positive:   1 x 511743111 x 46522123 x 222497113 x 45287179 x 28589253 x 202271243 x 41171969 x 2599
Negative: -1 x -5117431-11 x -465221-23 x -222497-113 x -45287-179 x -28589-253 x -20227-1243 x -4117-1969 x -2599


How do I find the factor combinations of the number 5,117,431?

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 5,117,431, 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 5,117,431
-1 -5,117,431

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 5,117,431.

Example:
1 x 5,117,431 = 5,117,431
and
-1 x -5,117,431 = 5,117,431
Notice both answers equal 5,117,431

With that explanation out of the way, let's continue. Next, we take the number 5,117,431 and divide it by 2:

5,117,431 ÷ 2 = 2,558,715.5

If the quotient is a whole number, then 2 and 2,558,715.5 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 5,117,431
-1 -5,117,431

Now, we try dividing 5,117,431 by 3:

5,117,431 ÷ 3 = 1,705,810.3333

If the quotient is a whole number, then 3 and 1,705,810.3333 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 5,117,431
-1 -5,117,431

Let's try dividing by 4:

5,117,431 ÷ 4 = 1,279,357.75

If the quotient is a whole number, then 4 and 1,279,357.75 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 5,117,431
-1 5,117,431
Keep dividing by the next highest number until you cannot divide anymore.

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

111231131792531,2431,9692,5994,11720,22728,58945,287222,497465,2215,117,431
-1-11-23-113-179-253-1,243-1,969-2,599-4,117-20,227-28,589-45,287-222,497-465,221-5,117,431

More Examples

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