Q: What are the factor combinations of the number 5,124,847?

 A:
Positive:   1 x 51248477 x 73212113 x 39421991 x 56317199 x 25753283 x 181091393 x 36791981 x 2587
Negative: -1 x -5124847-7 x -732121-13 x -394219-91 x -56317-199 x -25753-283 x -18109-1393 x -3679-1981 x -2587


How do I find the factor combinations of the number 5,124,847?

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 5,124,847, 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 5,124,847
-1 -5,124,847

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 5,124,847.

Example:
1 x 5,124,847 = 5,124,847
and
-1 x -5,124,847 = 5,124,847
Notice both answers equal 5,124,847

With that explanation out of the way, let's continue. Next, we take the number 5,124,847 and divide it by 2:

5,124,847 ÷ 2 = 2,562,423.5

If the quotient is a whole number, then 2 and 2,562,423.5 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 5,124,847
-1 -5,124,847

Now, we try dividing 5,124,847 by 3:

5,124,847 ÷ 3 = 1,708,282.3333

If the quotient is a whole number, then 3 and 1,708,282.3333 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 5,124,847
-1 -5,124,847

Let's try dividing by 4:

5,124,847 ÷ 4 = 1,281,211.75

If the quotient is a whole number, then 4 and 1,281,211.75 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 5,124,847
-1 5,124,847
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911992831,3931,9812,5873,67918,10925,75356,317394,219732,1215,124,847
-1-7-13-91-199-283-1,393-1,981-2,587-3,679-18,109-25,753-56,317-394,219-732,121-5,124,847

More Examples

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