Q: What are the factor combinations of the number 345,245,525?

 A:
Positive:   1 x 3452455255 x 6904910523 x 1501067525 x 13809821115 x 3002135419 x 823975575 x 6004271433 x 2409252095 x 1647957165 x 481859637 x 3582510475 x 32959
Negative: -1 x -345245525-5 x -69049105-23 x -15010675-25 x -13809821-115 x -3002135-419 x -823975-575 x -600427-1433 x -240925-2095 x -164795-7165 x -48185-9637 x -35825-10475 x -32959


How do I find the factor combinations of the number 345,245,525?

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 345,245,525, 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.

1 345,245,525
-1 -345,245,525

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 345,245,525.

Example:
1 x 345,245,525 = 345,245,525
and
-1 x -345,245,525 = 345,245,525
Notice both answers equal 345,245,525

With that explanation out of the way, let's continue. Next, we take the number 345,245,525 and divide it by 2:

345,245,525 ÷ 2 = 172,622,762.5

If the quotient is a whole number, then 2 and 172,622,762.5 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:

1 345,245,525
-1 -345,245,525

Now, we try dividing 345,245,525 by 3:

345,245,525 ÷ 3 = 115,081,841.6667

If the quotient is a whole number, then 3 and 115,081,841.6667 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:

1 345,245,525
-1 -345,245,525

Let's try dividing by 4:

345,245,525 ÷ 4 = 86,311,381.25

If the quotient is a whole number, then 4 and 86,311,381.25 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:

1 345,245,525
-1 345,245,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251154195751,4332,0957,1659,63710,47532,95935,82548,185164,795240,925600,427823,9753,002,13513,809,82115,010,67569,049,105345,245,525
-1-5-23-25-115-419-575-1,433-2,095-7,165-9,637-10,475-32,959-35,825-48,185-164,795-240,925-600,427-823,975-3,002,135-13,809,821-15,010,675-69,049,105-345,245,525

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