Q: What are the factor combinations of the number 200,421,427?

 A:
Positive:   1 x 20042142771 x 282283773 x 27454995183 x 38669
Negative: -1 x -200421427-71 x -2822837-73 x -2745499-5183 x -38669


How do I find the factor combinations of the number 200,421,427?

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 200,421,427, 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.

1 200,421,427
-1 -200,421,427

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 200,421,427.

Example:
1 x 200,421,427 = 200,421,427
and
-1 x -200,421,427 = 200,421,427
Notice both answers equal 200,421,427

With that explanation out of the way, let's continue. Next, we take the number 200,421,427 and divide it by 2:

200,421,427 ÷ 2 = 100,210,713.5

If the quotient is a whole number, then 2 and 100,210,713.5 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:

1 200,421,427
-1 -200,421,427

Now, we try dividing 200,421,427 by 3:

200,421,427 ÷ 3 = 66,807,142.3333

If the quotient is a whole number, then 3 and 66,807,142.3333 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:

1 200,421,427
-1 -200,421,427

Let's try dividing by 4:

200,421,427 ÷ 4 = 50,105,356.75

If the quotient is a whole number, then 4 and 50,105,356.75 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:

1 200,421,427
-1 200,421,427
Keep dividing by the next highest number until you cannot divide anymore.

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

171735,18338,6692,745,4992,822,837200,421,427
-1-71-73-5,183-38,669-2,745,499-2,822,837-200,421,427

More Examples

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