Q: What are the factor combinations of the number 163,217,665?

 A:
Positive:   1 x 1632176655 x 3264353313 x 1255520565 x 2511041169 x 965785233 x 700505829 x 196885845 x 1931571165 x 1401013029 x 538854145 x 3937710777 x 15145
Negative: -1 x -163217665-5 x -32643533-13 x -12555205-65 x -2511041-169 x -965785-233 x -700505-829 x -196885-845 x -193157-1165 x -140101-3029 x -53885-4145 x -39377-10777 x -15145


How do I find the factor combinations of the number 163,217,665?

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 163,217,665, 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.

1 163,217,665
-1 -163,217,665

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 163,217,665.

Example:
1 x 163,217,665 = 163,217,665
and
-1 x -163,217,665 = 163,217,665
Notice both answers equal 163,217,665

With that explanation out of the way, let's continue. Next, we take the number 163,217,665 and divide it by 2:

163,217,665 ÷ 2 = 81,608,832.5

If the quotient is a whole number, then 2 and 81,608,832.5 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:

1 163,217,665
-1 -163,217,665

Now, we try dividing 163,217,665 by 3:

163,217,665 ÷ 3 = 54,405,888.3333

If the quotient is a whole number, then 3 and 54,405,888.3333 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:

1 163,217,665
-1 -163,217,665

Let's try dividing by 4:

163,217,665 ÷ 4 = 40,804,416.25

If the quotient is a whole number, then 4 and 40,804,416.25 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:

1 163,217,665
-1 163,217,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651692338298451,1653,0294,14510,77715,14539,37753,885140,101193,157196,885700,505965,7852,511,04112,555,20532,643,533163,217,665
-1-5-13-65-169-233-829-845-1,165-3,029-4,145-10,777-15,145-39,377-53,885-140,101-193,157-196,885-700,505-965,785-2,511,041-12,555,205-32,643,533-163,217,665

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