Q: What are the factor combinations of the number 162,720,545?

 A:
Positive:   1 x 1627205455 x 3254410913 x 1251696565 x 2503393443 x 3673152215 x 734635651 x 287955759 x 28255
Negative: -1 x -162720545-5 x -32544109-13 x -12516965-65 x -2503393-443 x -367315-2215 x -73463-5651 x -28795-5759 x -28255


How do I find the factor combinations of the number 162,720,545?

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 162,720,545, 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.

1 162,720,545
-1 -162,720,545

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 162,720,545.

Example:
1 x 162,720,545 = 162,720,545
and
-1 x -162,720,545 = 162,720,545
Notice both answers equal 162,720,545

With that explanation out of the way, let's continue. Next, we take the number 162,720,545 and divide it by 2:

162,720,545 ÷ 2 = 81,360,272.5

If the quotient is a whole number, then 2 and 81,360,272.5 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:

1 162,720,545
-1 -162,720,545

Now, we try dividing 162,720,545 by 3:

162,720,545 ÷ 3 = 54,240,181.6667

If the quotient is a whole number, then 3 and 54,240,181.6667 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:

1 162,720,545
-1 -162,720,545

Let's try dividing by 4:

162,720,545 ÷ 4 = 40,680,136.25

If the quotient is a whole number, then 4 and 40,680,136.25 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:

1 162,720,545
-1 162,720,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654432,2155,6515,75928,25528,79573,463367,3152,503,39312,516,96532,544,109162,720,545
-1-5-13-65-443-2,215-5,651-5,759-28,255-28,795-73,463-367,315-2,503,393-12,516,965-32,544,109-162,720,545

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