Q: What are the factor combinations of the number 5,350,681?

 A:
Positive:   1 x 53506817 x 76438337 x 14461373 x 73297259 x 20659283 x 18907511 x 104711981 x 2701
Negative: -1 x -5350681-7 x -764383-37 x -144613-73 x -73297-259 x -20659-283 x -18907-511 x -10471-1981 x -2701


How do I find the factor combinations of the number 5,350,681?

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 5,350,681, 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 5,350,681
-1 -5,350,681

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 5,350,681.

Example:
1 x 5,350,681 = 5,350,681
and
-1 x -5,350,681 = 5,350,681
Notice both answers equal 5,350,681

With that explanation out of the way, let's continue. Next, we take the number 5,350,681 and divide it by 2:

5,350,681 ÷ 2 = 2,675,340.5

If the quotient is a whole number, then 2 and 2,675,340.5 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 5,350,681
-1 -5,350,681

Now, we try dividing 5,350,681 by 3:

5,350,681 ÷ 3 = 1,783,560.3333

If the quotient is a whole number, then 3 and 1,783,560.3333 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 5,350,681
-1 -5,350,681

Let's try dividing by 4:

5,350,681 ÷ 4 = 1,337,670.25

If the quotient is a whole number, then 4 and 1,337,670.25 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 5,350,681
-1 5,350,681
Keep dividing by the next highest number until you cannot divide anymore.

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

1737732592835111,9812,70110,47118,90720,65973,297144,613764,3835,350,681
-1-7-37-73-259-283-511-1,981-2,701-10,471-18,907-20,659-73,297-144,613-764,383-5,350,681

More Examples

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