Q: What are the factor combinations of the number 20,032,415?

 A:
Positive:   1 x 200324155 x 400648313 x 154095565 x 308191151 x 132665157 x 127595169 x 118535755 x 26533785 x 25519845 x 237071963 x 102052041 x 9815
Negative: -1 x -20032415-5 x -4006483-13 x -1540955-65 x -308191-151 x -132665-157 x -127595-169 x -118535-755 x -26533-785 x -25519-845 x -23707-1963 x -10205-2041 x -9815


How do I find the factor combinations of the number 20,032,415?

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 20,032,415, 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 20,032,415
-1 -20,032,415

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 20,032,415.

Example:
1 x 20,032,415 = 20,032,415
and
-1 x -20,032,415 = 20,032,415
Notice both answers equal 20,032,415

With that explanation out of the way, let's continue. Next, we take the number 20,032,415 and divide it by 2:

20,032,415 ÷ 2 = 10,016,207.5

If the quotient is a whole number, then 2 and 10,016,207.5 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 20,032,415
-1 -20,032,415

Now, we try dividing 20,032,415 by 3:

20,032,415 ÷ 3 = 6,677,471.6667

If the quotient is a whole number, then 3 and 6,677,471.6667 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 20,032,415
-1 -20,032,415

Let's try dividing by 4:

20,032,415 ÷ 4 = 5,008,103.75

If the quotient is a whole number, then 4 and 5,008,103.75 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 20,032,415
-1 20,032,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651511571697557858451,9632,0419,81510,20523,70725,51926,533118,535127,595132,665308,1911,540,9554,006,48320,032,415
-1-5-13-65-151-157-169-755-785-845-1,963-2,041-9,815-10,205-23,707-25,519-26,533-118,535-127,595-132,665-308,191-1,540,955-4,006,483-20,032,415

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