Q: What are the factor combinations of the number 325,131,443?

 A:
Positive:   1 x 3251314437 x 4644734913 x 2501011117 x 1912537991 x 3572873119 x 2732197221 x 14711831547 x 210169
Negative: -1 x -325131443-7 x -46447349-13 x -25010111-17 x -19125379-91 x -3572873-119 x -2732197-221 x -1471183-1547 x -210169


How do I find the factor combinations of the number 325,131,443?

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 325,131,443, 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.

1 325,131,443
-1 -325,131,443

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 325,131,443.

Example:
1 x 325,131,443 = 325,131,443
and
-1 x -325,131,443 = 325,131,443
Notice both answers equal 325,131,443

With that explanation out of the way, let's continue. Next, we take the number 325,131,443 and divide it by 2:

325,131,443 ÷ 2 = 162,565,721.5

If the quotient is a whole number, then 2 and 162,565,721.5 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:

1 325,131,443
-1 -325,131,443

Now, we try dividing 325,131,443 by 3:

325,131,443 ÷ 3 = 108,377,147.6667

If the quotient is a whole number, then 3 and 108,377,147.6667 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:

1 325,131,443
-1 -325,131,443

Let's try dividing by 4:

325,131,443 ÷ 4 = 81,282,860.75

If the quotient is a whole number, then 4 and 81,282,860.75 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:

1 325,131,443
-1 325,131,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,547210,1691,471,1832,732,1973,572,87319,125,37925,010,11146,447,349325,131,443
-1-7-13-17-91-119-221-1,547-210,169-1,471,183-2,732,197-3,572,873-19,125,379-25,010,111-46,447,349-325,131,443

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