Q: What are the factor combinations of the number 162,611,605?

 A:
Positive:   1 x 1626116055 x 3252232113 x 1250858565 x 2501717251 x 6478551255 x 1295713263 x 498359967 x 16315
Negative: -1 x -162611605-5 x -32522321-13 x -12508585-65 x -2501717-251 x -647855-1255 x -129571-3263 x -49835-9967 x -16315


How do I find the factor combinations of the number 162,611,605?

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 162,611,605, 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.

1 162,611,605
-1 -162,611,605

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 162,611,605.

Example:
1 x 162,611,605 = 162,611,605
and
-1 x -162,611,605 = 162,611,605
Notice both answers equal 162,611,605

With that explanation out of the way, let's continue. Next, we take the number 162,611,605 and divide it by 2:

162,611,605 ÷ 2 = 81,305,802.5

If the quotient is a whole number, then 2 and 81,305,802.5 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:

1 162,611,605
-1 -162,611,605

Now, we try dividing 162,611,605 by 3:

162,611,605 ÷ 3 = 54,203,868.3333

If the quotient is a whole number, then 3 and 54,203,868.3333 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:

1 162,611,605
-1 -162,611,605

Let's try dividing by 4:

162,611,605 ÷ 4 = 40,652,901.25

If the quotient is a whole number, then 4 and 40,652,901.25 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:

1 162,611,605
-1 162,611,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652511,2553,2639,96716,31549,835129,571647,8552,501,71712,508,58532,522,321162,611,605
-1-5-13-65-251-1,255-3,263-9,967-16,315-49,835-129,571-647,855-2,501,717-12,508,585-32,522,321-162,611,605

More Examples

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