Q: What are the factor combinations of the number 5,132,071?

 A:
Positive:   1 x 51320717 x 73315319 x 27010947 x 109193133 x 38587329 x 15599821 x 6251893 x 5747
Negative: -1 x -5132071-7 x -733153-19 x -270109-47 x -109193-133 x -38587-329 x -15599-821 x -6251-893 x -5747


How do I find the factor combinations of the number 5,132,071?

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 5,132,071, 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 5,132,071
-1 -5,132,071

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 5,132,071.

Example:
1 x 5,132,071 = 5,132,071
and
-1 x -5,132,071 = 5,132,071
Notice both answers equal 5,132,071

With that explanation out of the way, let's continue. Next, we take the number 5,132,071 and divide it by 2:

5,132,071 ÷ 2 = 2,566,035.5

If the quotient is a whole number, then 2 and 2,566,035.5 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 5,132,071
-1 -5,132,071

Now, we try dividing 5,132,071 by 3:

5,132,071 ÷ 3 = 1,710,690.3333

If the quotient is a whole number, then 3 and 1,710,690.3333 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 5,132,071
-1 -5,132,071

Let's try dividing by 4:

5,132,071 ÷ 4 = 1,283,017.75

If the quotient is a whole number, then 4 and 1,283,017.75 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 5,132,071
-1 5,132,071
Keep dividing by the next highest number until you cannot divide anymore.

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

1719471333298218935,7476,25115,59938,587109,193270,109733,1535,132,071
-1-7-19-47-133-329-821-893-5,747-6,251-15,599-38,587-109,193-270,109-733,153-5,132,071

More Examples

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