Q: What are the factor combinations of the number 202,403,435?

 A:
Positive:   1 x 2024034355 x 4048068713 x 1556949565 x 3113899
Negative: -1 x -202403435-5 x -40480687-13 x -15569495-65 x -3113899


How do I find the factor combinations of the number 202,403,435?

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 202,403,435, 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.

1 202,403,435
-1 -202,403,435

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 202,403,435.

Example:
1 x 202,403,435 = 202,403,435
and
-1 x -202,403,435 = 202,403,435
Notice both answers equal 202,403,435

With that explanation out of the way, let's continue. Next, we take the number 202,403,435 and divide it by 2:

202,403,435 ÷ 2 = 101,201,717.5

If the quotient is a whole number, then 2 and 101,201,717.5 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:

1 202,403,435
-1 -202,403,435

Now, we try dividing 202,403,435 by 3:

202,403,435 ÷ 3 = 67,467,811.6667

If the quotient is a whole number, then 3 and 67,467,811.6667 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:

1 202,403,435
-1 -202,403,435

Let's try dividing by 4:

202,403,435 ÷ 4 = 50,600,858.75

If the quotient is a whole number, then 4 and 50,600,858.75 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:

1 202,403,435
-1 202,403,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653,113,89915,569,49540,480,687202,403,435
-1-5-13-65-3,113,899-15,569,495-40,480,687-202,403,435

More Examples

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