Q: What are the factor combinations of the number 200,424,215?

 A:
Positive:   1 x 2004242155 x 4008484347 x 4264345167 x 1200145235 x 852869835 x 2400295107 x 392457849 x 25535
Negative: -1 x -200424215-5 x -40084843-47 x -4264345-167 x -1200145-235 x -852869-835 x -240029-5107 x -39245-7849 x -25535


How do I find the factor combinations of the number 200,424,215?

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 200,424,215, 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.

1 200,424,215
-1 -200,424,215

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 200,424,215.

Example:
1 x 200,424,215 = 200,424,215
and
-1 x -200,424,215 = 200,424,215
Notice both answers equal 200,424,215

With that explanation out of the way, let's continue. Next, we take the number 200,424,215 and divide it by 2:

200,424,215 ÷ 2 = 100,212,107.5

If the quotient is a whole number, then 2 and 100,212,107.5 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:

1 200,424,215
-1 -200,424,215

Now, we try dividing 200,424,215 by 3:

200,424,215 ÷ 3 = 66,808,071.6667

If the quotient is a whole number, then 3 and 66,808,071.6667 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:

1 200,424,215
-1 -200,424,215

Let's try dividing by 4:

200,424,215 ÷ 4 = 50,106,053.75

If the quotient is a whole number, then 4 and 50,106,053.75 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:

1 200,424,215
-1 200,424,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15471672358355,1077,84925,53539,245240,029852,8691,200,1454,264,34540,084,843200,424,215
-1-5-47-167-235-835-5,107-7,849-25,535-39,245-240,029-852,869-1,200,145-4,264,345-40,084,843-200,424,215

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