Q: What are the factor combinations of the number 345,623,663?

 A:
Positive:   1 x 3456236637 x 4937480911 x 3142033377 x 4488619181 x 19095231267 x 2727891991 x 17359313937 x 24799
Negative: -1 x -345623663-7 x -49374809-11 x -31420333-77 x -4488619-181 x -1909523-1267 x -272789-1991 x -173593-13937 x -24799


How do I find the factor combinations of the number 345,623,663?

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 345,623,663, 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.

1 345,623,663
-1 -345,623,663

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 345,623,663.

Example:
1 x 345,623,663 = 345,623,663
and
-1 x -345,623,663 = 345,623,663
Notice both answers equal 345,623,663

With that explanation out of the way, let's continue. Next, we take the number 345,623,663 and divide it by 2:

345,623,663 ÷ 2 = 172,811,831.5

If the quotient is a whole number, then 2 and 172,811,831.5 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:

1 345,623,663
-1 -345,623,663

Now, we try dividing 345,623,663 by 3:

345,623,663 ÷ 3 = 115,207,887.6667

If the quotient is a whole number, then 3 and 115,207,887.6667 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:

1 345,623,663
-1 -345,623,663

Let's try dividing by 4:

345,623,663 ÷ 4 = 86,405,915.75

If the quotient is a whole number, then 4 and 86,405,915.75 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:

1 345,623,663
-1 345,623,663
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771811,2671,99113,93724,799173,593272,7891,909,5234,488,61931,420,33349,374,809345,623,663
-1-7-11-77-181-1,267-1,991-13,937-24,799-173,593-272,789-1,909,523-4,488,619-31,420,333-49,374,809-345,623,663

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