Q: What are the factor combinations of the number 20,006,195?

 A:
Positive:   1 x 200061955 x 400123911 x 181874517 x 117683555 x 36374985 x 235367187 x 106985935 x 21397
Negative: -1 x -20006195-5 x -4001239-11 x -1818745-17 x -1176835-55 x -363749-85 x -235367-187 x -106985-935 x -21397


How do I find the factor combinations of the number 20,006,195?

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 20,006,195, 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 20,006,195
-1 -20,006,195

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 20,006,195.

Example:
1 x 20,006,195 = 20,006,195
and
-1 x -20,006,195 = 20,006,195
Notice both answers equal 20,006,195

With that explanation out of the way, let's continue. Next, we take the number 20,006,195 and divide it by 2:

20,006,195 ÷ 2 = 10,003,097.5

If the quotient is a whole number, then 2 and 10,003,097.5 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 20,006,195
-1 -20,006,195

Now, we try dividing 20,006,195 by 3:

20,006,195 ÷ 3 = 6,668,731.6667

If the quotient is a whole number, then 3 and 6,668,731.6667 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 20,006,195
-1 -20,006,195

Let's try dividing by 4:

20,006,195 ÷ 4 = 5,001,548.75

If the quotient is a whole number, then 4 and 5,001,548.75 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 20,006,195
-1 20,006,195
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793521,397106,985235,367363,7491,176,8351,818,7454,001,23920,006,195
-1-5-11-17-55-85-187-935-21,397-106,985-235,367-363,749-1,176,835-1,818,745-4,001,239-20,006,195

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