Q: What are the factor combinations of the number 160,711,621?

 A:
Positive:   1 x 1607116217 x 2295880349 x 3279829103 x 1560307343 x 468547721 x 2229014549 x 353295047 x 31843
Negative: -1 x -160711621-7 x -22958803-49 x -3279829-103 x -1560307-343 x -468547-721 x -222901-4549 x -35329-5047 x -31843


How do I find the factor combinations of the number 160,711,621?

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 160,711,621, 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.

1 160,711,621
-1 -160,711,621

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 160,711,621.

Example:
1 x 160,711,621 = 160,711,621
and
-1 x -160,711,621 = 160,711,621
Notice both answers equal 160,711,621

With that explanation out of the way, let's continue. Next, we take the number 160,711,621 and divide it by 2:

160,711,621 ÷ 2 = 80,355,810.5

If the quotient is a whole number, then 2 and 80,355,810.5 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:

1 160,711,621
-1 -160,711,621

Now, we try dividing 160,711,621 by 3:

160,711,621 ÷ 3 = 53,570,540.3333

If the quotient is a whole number, then 3 and 53,570,540.3333 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:

1 160,711,621
-1 -160,711,621

Let's try dividing by 4:

160,711,621 ÷ 4 = 40,177,905.25

If the quotient is a whole number, then 4 and 40,177,905.25 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:

1 160,711,621
-1 160,711,621
Keep dividing by the next highest number until you cannot divide anymore.

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

17491033437214,5495,04731,84335,329222,901468,5471,560,3073,279,82922,958,803160,711,621
-1-7-49-103-343-721-4,549-5,047-31,843-35,329-222,901-468,547-1,560,307-3,279,829-22,958,803-160,711,621

More Examples

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