Q: What are the factor combinations of the number 100,302,433?

 A:
Positive:   1 x 1003024337 x 1432891911 x 911840377 x 1302629157 x 6388691099 x 912671727 x 580798297 x 12089
Negative: -1 x -100302433-7 x -14328919-11 x -9118403-77 x -1302629-157 x -638869-1099 x -91267-1727 x -58079-8297 x -12089


How do I find the factor combinations of the number 100,302,433?

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 100,302,433, 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.

1 100,302,433
-1 -100,302,433

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 100,302,433.

Example:
1 x 100,302,433 = 100,302,433
and
-1 x -100,302,433 = 100,302,433
Notice both answers equal 100,302,433

With that explanation out of the way, let's continue. Next, we take the number 100,302,433 and divide it by 2:

100,302,433 ÷ 2 = 50,151,216.5

If the quotient is a whole number, then 2 and 50,151,216.5 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:

1 100,302,433
-1 -100,302,433

Now, we try dividing 100,302,433 by 3:

100,302,433 ÷ 3 = 33,434,144.3333

If the quotient is a whole number, then 3 and 33,434,144.3333 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:

1 100,302,433
-1 -100,302,433

Let's try dividing by 4:

100,302,433 ÷ 4 = 25,075,608.25

If the quotient is a whole number, then 4 and 25,075,608.25 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:

1 100,302,433
-1 100,302,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771571,0991,7278,29712,08958,07991,267638,8691,302,6299,118,40314,328,919100,302,433
-1-7-11-77-157-1,099-1,727-8,297-12,089-58,079-91,267-638,869-1,302,629-9,118,403-14,328,919-100,302,433

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