Q: What are the factor combinations of the number 303,821,467?

 A:
Positive:   1 x 30382146717 x 1787185123 x 1320962937 x 8211391391 x 777037629 x 483023851 x 35701714467 x 21001
Negative: -1 x -303821467-17 x -17871851-23 x -13209629-37 x -8211391-391 x -777037-629 x -483023-851 x -357017-14467 x -21001


How do I find the factor combinations of the number 303,821,467?

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 303,821,467, 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.

1 303,821,467
-1 -303,821,467

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 303,821,467.

Example:
1 x 303,821,467 = 303,821,467
and
-1 x -303,821,467 = 303,821,467
Notice both answers equal 303,821,467

With that explanation out of the way, let's continue. Next, we take the number 303,821,467 and divide it by 2:

303,821,467 ÷ 2 = 151,910,733.5

If the quotient is a whole number, then 2 and 151,910,733.5 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:

1 303,821,467
-1 -303,821,467

Now, we try dividing 303,821,467 by 3:

303,821,467 ÷ 3 = 101,273,822.3333

If the quotient is a whole number, then 3 and 101,273,822.3333 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:

1 303,821,467
-1 -303,821,467

Let's try dividing by 4:

303,821,467 ÷ 4 = 75,955,366.75

If the quotient is a whole number, then 4 and 75,955,366.75 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:

1 303,821,467
-1 303,821,467
Keep dividing by the next highest number until you cannot divide anymore.

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

117233739162985114,46721,001357,017483,023777,0378,211,39113,209,62917,871,851303,821,467
-1-17-23-37-391-629-851-14,467-21,001-357,017-483,023-777,037-8,211,391-13,209,629-17,871,851-303,821,467

More Examples

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