Q: What are the factor combinations of the number 325,243,345?

 A:
Positive:   1 x 3252433455 x 650486697 x 4646333523 x 1414101535 x 9292667115 x 2828203161 x 2020145805 x 404029
Negative: -1 x -325243345-5 x -65048669-7 x -46463335-23 x -14141015-35 x -9292667-115 x -2828203-161 x -2020145-805 x -404029


How do I find the factor combinations of the number 325,243,345?

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 325,243,345, 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.

1 325,243,345
-1 -325,243,345

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 325,243,345.

Example:
1 x 325,243,345 = 325,243,345
and
-1 x -325,243,345 = 325,243,345
Notice both answers equal 325,243,345

With that explanation out of the way, let's continue. Next, we take the number 325,243,345 and divide it by 2:

325,243,345 ÷ 2 = 162,621,672.5

If the quotient is a whole number, then 2 and 162,621,672.5 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:

1 325,243,345
-1 -325,243,345

Now, we try dividing 325,243,345 by 3:

325,243,345 ÷ 3 = 108,414,448.3333

If the quotient is a whole number, then 3 and 108,414,448.3333 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:

1 325,243,345
-1 -325,243,345

Let's try dividing by 4:

325,243,345 ÷ 4 = 81,310,836.25

If the quotient is a whole number, then 4 and 81,310,836.25 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:

1 325,243,345
-1 325,243,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805404,0292,020,1452,828,2039,292,66714,141,01546,463,33565,048,669325,243,345
-1-5-7-23-35-115-161-805-404,029-2,020,145-2,828,203-9,292,667-14,141,015-46,463,335-65,048,669-325,243,345

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