Q: What are the factor combinations of the number 200,384,471?

 A:
Positive:   1 x 2003844717 x 2862635349 x 408947967 x 2990813469 x 427259911 x 2199613283 x 610374489 x 446396377 x 31423
Negative: -1 x -200384471-7 x -28626353-49 x -4089479-67 x -2990813-469 x -427259-911 x -219961-3283 x -61037-4489 x -44639-6377 x -31423


How do I find the factor combinations of the number 200,384,471?

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 200,384,471, 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.

1 200,384,471
-1 -200,384,471

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 200,384,471.

Example:
1 x 200,384,471 = 200,384,471
and
-1 x -200,384,471 = 200,384,471
Notice both answers equal 200,384,471

With that explanation out of the way, let's continue. Next, we take the number 200,384,471 and divide it by 2:

200,384,471 ÷ 2 = 100,192,235.5

If the quotient is a whole number, then 2 and 100,192,235.5 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:

1 200,384,471
-1 -200,384,471

Now, we try dividing 200,384,471 by 3:

200,384,471 ÷ 3 = 66,794,823.6667

If the quotient is a whole number, then 3 and 66,794,823.6667 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:

1 200,384,471
-1 -200,384,471

Let's try dividing by 4:

200,384,471 ÷ 4 = 50,096,117.75

If the quotient is a whole number, then 4 and 50,096,117.75 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:

1 200,384,471
-1 200,384,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1749674699113,2834,4896,37731,42344,63961,037219,961427,2592,990,8134,089,47928,626,353200,384,471
-1-7-49-67-469-911-3,283-4,489-6,377-31,423-44,639-61,037-219,961-427,259-2,990,813-4,089,479-28,626,353-200,384,471

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