Q: What are the factor combinations of the number 5,131,273?

 A:
Positive:   1 x 51312737 x 73303919 x 27006741 x 125153133 x 38581287 x 17879779 x 6587941 x 5453
Negative: -1 x -5131273-7 x -733039-19 x -270067-41 x -125153-133 x -38581-287 x -17879-779 x -6587-941 x -5453


How do I find the factor combinations of the number 5,131,273?

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 5,131,273, 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 5,131,273
-1 -5,131,273

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 5,131,273.

Example:
1 x 5,131,273 = 5,131,273
and
-1 x -5,131,273 = 5,131,273
Notice both answers equal 5,131,273

With that explanation out of the way, let's continue. Next, we take the number 5,131,273 and divide it by 2:

5,131,273 ÷ 2 = 2,565,636.5

If the quotient is a whole number, then 2 and 2,565,636.5 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 5,131,273
-1 -5,131,273

Now, we try dividing 5,131,273 by 3:

5,131,273 ÷ 3 = 1,710,424.3333

If the quotient is a whole number, then 3 and 1,710,424.3333 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 5,131,273
-1 -5,131,273

Let's try dividing by 4:

5,131,273 ÷ 4 = 1,282,818.25

If the quotient is a whole number, then 4 and 1,282,818.25 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 5,131,273
-1 5,131,273
Keep dividing by the next highest number until you cannot divide anymore.

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

1719411332877799415,4536,58717,87938,581125,153270,067733,0395,131,273
-1-7-19-41-133-287-779-941-5,453-6,587-17,879-38,581-125,153-270,067-733,039-5,131,273

More Examples

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