Q: What are the factor combinations of the number 20,130,215?

 A:
Positive:   1 x 201302155 x 40260437 x 287574519 x 105948535 x 57514995 x 211897133 x 151355665 x 30271
Negative: -1 x -20130215-5 x -4026043-7 x -2875745-19 x -1059485-35 x -575149-95 x -211897-133 x -151355-665 x -30271


How do I find the factor combinations of the number 20,130,215?

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 20,130,215, 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 20,130,215
-1 -20,130,215

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 20,130,215.

Example:
1 x 20,130,215 = 20,130,215
and
-1 x -20,130,215 = 20,130,215
Notice both answers equal 20,130,215

With that explanation out of the way, let's continue. Next, we take the number 20,130,215 and divide it by 2:

20,130,215 ÷ 2 = 10,065,107.5

If the quotient is a whole number, then 2 and 10,065,107.5 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 20,130,215
-1 -20,130,215

Now, we try dividing 20,130,215 by 3:

20,130,215 ÷ 3 = 6,710,071.6667

If the quotient is a whole number, then 3 and 6,710,071.6667 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 20,130,215
-1 -20,130,215

Let's try dividing by 4:

20,130,215 ÷ 4 = 5,032,553.75

If the quotient is a whole number, then 4 and 5,032,553.75 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 20,130,215
-1 20,130,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366530,271151,355211,897575,1491,059,4852,875,7454,026,04320,130,215
-1-5-7-19-35-95-133-665-30,271-151,355-211,897-575,149-1,059,485-2,875,745-4,026,043-20,130,215

More Examples

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