Q: What are the factor combinations of the number 202,426,243?

 A:
Positive:   1 x 20242624323 x 880114161 x 3318463223 x 907741647 x 3128691403 x 1442815129 x 3946713603 x 14881
Negative: -1 x -202426243-23 x -8801141-61 x -3318463-223 x -907741-647 x -312869-1403 x -144281-5129 x -39467-13603 x -14881


How do I find the factor combinations of the number 202,426,243?

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 202,426,243, 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.

1 202,426,243
-1 -202,426,243

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 202,426,243.

Example:
1 x 202,426,243 = 202,426,243
and
-1 x -202,426,243 = 202,426,243
Notice both answers equal 202,426,243

With that explanation out of the way, let's continue. Next, we take the number 202,426,243 and divide it by 2:

202,426,243 ÷ 2 = 101,213,121.5

If the quotient is a whole number, then 2 and 101,213,121.5 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:

1 202,426,243
-1 -202,426,243

Now, we try dividing 202,426,243 by 3:

202,426,243 ÷ 3 = 67,475,414.3333

If the quotient is a whole number, then 3 and 67,475,414.3333 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:

1 202,426,243
-1 -202,426,243

Let's try dividing by 4:

202,426,243 ÷ 4 = 50,606,560.75

If the quotient is a whole number, then 4 and 50,606,560.75 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:

1 202,426,243
-1 202,426,243
Keep dividing by the next highest number until you cannot divide anymore.

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

123612236471,4035,12913,60314,88139,467144,281312,869907,7413,318,4638,801,141202,426,243
-1-23-61-223-647-1,403-5,129-13,603-14,881-39,467-144,281-312,869-907,741-3,318,463-8,801,141-202,426,243

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