Q: What are the factor combinations of the number 483,023,435?

 A:
Positive:   1 x 4830234355 x 9660468767 x 7209305335 x 14418611009 x 4787151429 x 3380155045 x 957437145 x 67603
Negative: -1 x -483023435-5 x -96604687-67 x -7209305-335 x -1441861-1009 x -478715-1429 x -338015-5045 x -95743-7145 x -67603


How do I find the factor combinations of the number 483,023,435?

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 483,023,435, 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.

1 483,023,435
-1 -483,023,435

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 483,023,435.

Example:
1 x 483,023,435 = 483,023,435
and
-1 x -483,023,435 = 483,023,435
Notice both answers equal 483,023,435

With that explanation out of the way, let's continue. Next, we take the number 483,023,435 and divide it by 2:

483,023,435 ÷ 2 = 241,511,717.5

If the quotient is a whole number, then 2 and 241,511,717.5 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:

1 483,023,435
-1 -483,023,435

Now, we try dividing 483,023,435 by 3:

483,023,435 ÷ 3 = 161,007,811.6667

If the quotient is a whole number, then 3 and 161,007,811.6667 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:

1 483,023,435
-1 -483,023,435

Let's try dividing by 4:

483,023,435 ÷ 4 = 120,755,858.75

If the quotient is a whole number, then 4 and 120,755,858.75 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:

1 483,023,435
-1 483,023,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15673351,0091,4295,0457,14567,60395,743338,015478,7151,441,8617,209,30596,604,687483,023,435
-1-5-67-335-1,009-1,429-5,045-7,145-67,603-95,743-338,015-478,715-1,441,861-7,209,305-96,604,687-483,023,435

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