Q: What are the factor combinations of the number 345,240,523?

 A:
Positive:   1 x 34524052389 x 3879107101 x 3418223193 x 1788811199 x 17348778989 x 3840717177 x 2009917711 x 19493
Negative: -1 x -345240523-89 x -3879107-101 x -3418223-193 x -1788811-199 x -1734877-8989 x -38407-17177 x -20099-17711 x -19493


How do I find the factor combinations of the number 345,240,523?

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 345,240,523, 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.

1 345,240,523
-1 -345,240,523

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 345,240,523.

Example:
1 x 345,240,523 = 345,240,523
and
-1 x -345,240,523 = 345,240,523
Notice both answers equal 345,240,523

With that explanation out of the way, let's continue. Next, we take the number 345,240,523 and divide it by 2:

345,240,523 ÷ 2 = 172,620,261.5

If the quotient is a whole number, then 2 and 172,620,261.5 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:

1 345,240,523
-1 -345,240,523

Now, we try dividing 345,240,523 by 3:

345,240,523 ÷ 3 = 115,080,174.3333

If the quotient is a whole number, then 3 and 115,080,174.3333 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:

1 345,240,523
-1 -345,240,523

Let's try dividing by 4:

345,240,523 ÷ 4 = 86,310,130.75

If the quotient is a whole number, then 4 and 86,310,130.75 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:

1 345,240,523
-1 345,240,523
Keep dividing by the next highest number until you cannot divide anymore.

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

1891011931998,98917,17717,71119,49320,09938,4071,734,8771,788,8113,418,2233,879,107345,240,523
-1-89-101-193-199-8,989-17,177-17,711-19,493-20,099-38,407-1,734,877-1,788,811-3,418,223-3,879,107-345,240,523

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