Q: What are the factor combinations of the number 321,455,365?

 A:
Positive:   1 x 3214553655 x 642910737 x 4592219511 x 2922321535 x 918443955 x 584464377 x 4174745385 x 834949
Negative: -1 x -321455365-5 x -64291073-7 x -45922195-11 x -29223215-35 x -9184439-55 x -5844643-77 x -4174745-385 x -834949


How do I find the factor combinations of the number 321,455,365?

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 321,455,365, 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.

1 321,455,365
-1 -321,455,365

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 321,455,365.

Example:
1 x 321,455,365 = 321,455,365
and
-1 x -321,455,365 = 321,455,365
Notice both answers equal 321,455,365

With that explanation out of the way, let's continue. Next, we take the number 321,455,365 and divide it by 2:

321,455,365 ÷ 2 = 160,727,682.5

If the quotient is a whole number, then 2 and 160,727,682.5 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:

1 321,455,365
-1 -321,455,365

Now, we try dividing 321,455,365 by 3:

321,455,365 ÷ 3 = 107,151,788.3333

If the quotient is a whole number, then 3 and 107,151,788.3333 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:

1 321,455,365
-1 -321,455,365

Let's try dividing by 4:

321,455,365 ÷ 4 = 80,363,841.25

If the quotient is a whole number, then 4 and 80,363,841.25 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:

1 321,455,365
-1 321,455,365
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385834,9494,174,7455,844,6439,184,43929,223,21545,922,19564,291,073321,455,365
-1-5-7-11-35-55-77-385-834,949-4,174,745-5,844,643-9,184,439-29,223,215-45,922,195-64,291,073-321,455,365

More Examples

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