Q: What are the factor combinations of the number 20,716,735?

 A:
Positive:   1 x 207167355 x 414334713 x 159359565 x 31871967 x 30920571 x 291785335 x 61841355 x 58357871 x 23785923 x 224454355 x 47574489 x 4615
Negative: -1 x -20716735-5 x -4143347-13 x -1593595-65 x -318719-67 x -309205-71 x -291785-335 x -61841-355 x -58357-871 x -23785-923 x -22445-4355 x -4757-4489 x -4615


How do I find the factor combinations of the number 20,716,735?

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 20,716,735, 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 20,716,735
-1 -20,716,735

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 20,716,735.

Example:
1 x 20,716,735 = 20,716,735
and
-1 x -20,716,735 = 20,716,735
Notice both answers equal 20,716,735

With that explanation out of the way, let's continue. Next, we take the number 20,716,735 and divide it by 2:

20,716,735 ÷ 2 = 10,358,367.5

If the quotient is a whole number, then 2 and 10,358,367.5 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 20,716,735
-1 -20,716,735

Now, we try dividing 20,716,735 by 3:

20,716,735 ÷ 3 = 6,905,578.3333

If the quotient is a whole number, then 3 and 6,905,578.3333 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 20,716,735
-1 -20,716,735

Let's try dividing by 4:

20,716,735 ÷ 4 = 5,179,183.75

If the quotient is a whole number, then 4 and 5,179,183.75 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 20,716,735
-1 20,716,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15136567713353558719234,3554,4894,6154,75722,44523,78558,35761,841291,785309,205318,7191,593,5954,143,34720,716,735
-1-5-13-65-67-71-335-355-871-923-4,355-4,489-4,615-4,757-22,445-23,785-58,357-61,841-291,785-309,205-318,719-1,593,595-4,143,347-20,716,735

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