Q: What are the factor combinations of the number 20,423,515?

 A:
Positive:   1 x 204235155 x 40847037 x 291764535 x 583529173 x 118055865 x 236111211 x 168653373 x 6055
Negative: -1 x -20423515-5 x -4084703-7 x -2917645-35 x -583529-173 x -118055-865 x -23611-1211 x -16865-3373 x -6055


How do I find the factor combinations of the number 20,423,515?

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 20,423,515, 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 20,423,515
-1 -20,423,515

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 20,423,515.

Example:
1 x 20,423,515 = 20,423,515
and
-1 x -20,423,515 = 20,423,515
Notice both answers equal 20,423,515

With that explanation out of the way, let's continue. Next, we take the number 20,423,515 and divide it by 2:

20,423,515 ÷ 2 = 10,211,757.5

If the quotient is a whole number, then 2 and 10,211,757.5 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 20,423,515
-1 -20,423,515

Now, we try dividing 20,423,515 by 3:

20,423,515 ÷ 3 = 6,807,838.3333

If the quotient is a whole number, then 3 and 6,807,838.3333 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 20,423,515
-1 -20,423,515

Let's try dividing by 4:

20,423,515 ÷ 4 = 5,105,878.75

If the quotient is a whole number, then 4 and 5,105,878.75 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 20,423,515
-1 20,423,515
Keep dividing by the next highest number until you cannot divide anymore.

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

157351738651,2113,3736,05516,86523,611118,055583,5292,917,6454,084,70320,423,515
-1-5-7-35-173-865-1,211-3,373-6,055-16,865-23,611-118,055-583,529-2,917,645-4,084,703-20,423,515

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