Q: What are the factor combinations of the number 321,141,157?

 A:
Positive:   1 x 32114115723 x 1396265929 x 1107383343 x 7468399667 x 481471989 x 3247131247 x 25753111197 x 28681
Negative: -1 x -321141157-23 x -13962659-29 x -11073833-43 x -7468399-667 x -481471-989 x -324713-1247 x -257531-11197 x -28681


How do I find the factor combinations of the number 321,141,157?

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 321,141,157, 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.

1 321,141,157
-1 -321,141,157

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 321,141,157.

Example:
1 x 321,141,157 = 321,141,157
and
-1 x -321,141,157 = 321,141,157
Notice both answers equal 321,141,157

With that explanation out of the way, let's continue. Next, we take the number 321,141,157 and divide it by 2:

321,141,157 ÷ 2 = 160,570,578.5

If the quotient is a whole number, then 2 and 160,570,578.5 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:

1 321,141,157
-1 -321,141,157

Now, we try dividing 321,141,157 by 3:

321,141,157 ÷ 3 = 107,047,052.3333

If the quotient is a whole number, then 3 and 107,047,052.3333 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:

1 321,141,157
-1 -321,141,157

Let's try dividing by 4:

321,141,157 ÷ 4 = 80,285,289.25

If the quotient is a whole number, then 4 and 80,285,289.25 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:

1 321,141,157
-1 321,141,157
Keep dividing by the next highest number until you cannot divide anymore.

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

12329436679891,24711,19728,681257,531324,713481,4717,468,39911,073,83313,962,659321,141,157
-1-23-29-43-667-989-1,247-11,197-28,681-257,531-324,713-481,471-7,468,399-11,073,833-13,962,659-321,141,157

More Examples

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