Q: What are the factor combinations of the number 483,443,765?

 A:
Positive:   1 x 4834437655 x 966887537 x 6906339535 x 13812679463 x 10441552315 x 2088313241 x 14916516205 x 29833
Negative: -1 x -483443765-5 x -96688753-7 x -69063395-35 x -13812679-463 x -1044155-2315 x -208831-3241 x -149165-16205 x -29833


How do I find the factor combinations of the number 483,443,765?

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 483,443,765, 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.

1 483,443,765
-1 -483,443,765

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 483,443,765.

Example:
1 x 483,443,765 = 483,443,765
and
-1 x -483,443,765 = 483,443,765
Notice both answers equal 483,443,765

With that explanation out of the way, let's continue. Next, we take the number 483,443,765 and divide it by 2:

483,443,765 ÷ 2 = 241,721,882.5

If the quotient is a whole number, then 2 and 241,721,882.5 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:

1 483,443,765
-1 -483,443,765

Now, we try dividing 483,443,765 by 3:

483,443,765 ÷ 3 = 161,147,921.6667

If the quotient is a whole number, then 3 and 161,147,921.6667 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:

1 483,443,765
-1 -483,443,765

Let's try dividing by 4:

483,443,765 ÷ 4 = 120,860,941.25

If the quotient is a whole number, then 4 and 120,860,941.25 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:

1 483,443,765
-1 483,443,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157354632,3153,24116,20529,833149,165208,8311,044,15513,812,67969,063,39596,688,753483,443,765
-1-5-7-35-463-2,315-3,241-16,205-29,833-149,165-208,831-1,044,155-13,812,679-69,063,395-96,688,753-483,443,765

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