Q: What are the factor combinations of the number 20,102,215?

 A:
Positive:   1 x 201022155 x 40204437 x 287174535 x 574349499 x 402851151 x 174652495 x 80573493 x 5755
Negative: -1 x -20102215-5 x -4020443-7 x -2871745-35 x -574349-499 x -40285-1151 x -17465-2495 x -8057-3493 x -5755


How do I find the factor combinations of the number 20,102,215?

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 20,102,215, 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 20,102,215
-1 -20,102,215

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 20,102,215.

Example:
1 x 20,102,215 = 20,102,215
and
-1 x -20,102,215 = 20,102,215
Notice both answers equal 20,102,215

With that explanation out of the way, let's continue. Next, we take the number 20,102,215 and divide it by 2:

20,102,215 ÷ 2 = 10,051,107.5

If the quotient is a whole number, then 2 and 10,051,107.5 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 20,102,215
-1 -20,102,215

Now, we try dividing 20,102,215 by 3:

20,102,215 ÷ 3 = 6,700,738.3333

If the quotient is a whole number, then 3 and 6,700,738.3333 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 20,102,215
-1 -20,102,215

Let's try dividing by 4:

20,102,215 ÷ 4 = 5,025,553.75

If the quotient is a whole number, then 4 and 5,025,553.75 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 20,102,215
-1 20,102,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157354991,1512,4953,4935,7558,05717,46540,285574,3492,871,7454,020,44320,102,215
-1-5-7-35-499-1,151-2,495-3,493-5,755-8,057-17,465-40,285-574,349-2,871,745-4,020,443-20,102,215

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