Q: What are the factor combinations of the number 20,017,165?

 A:
Positive:   1 x 200171655 x 40034337 x 285959519 x 105353531 x 64571535 x 57191995 x 210707133 x 150505155 x 129143217 x 92245589 x 33985665 x 30101971 x 206151085 x 184492945 x 67974123 x 4855
Negative: -1 x -20017165-5 x -4003433-7 x -2859595-19 x -1053535-31 x -645715-35 x -571919-95 x -210707-133 x -150505-155 x -129143-217 x -92245-589 x -33985-665 x -30101-971 x -20615-1085 x -18449-2945 x -6797-4123 x -4855


How do I find the factor combinations of the number 20,017,165?

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 20,017,165, 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 20,017,165
-1 -20,017,165

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 20,017,165.

Example:
1 x 20,017,165 = 20,017,165
and
-1 x -20,017,165 = 20,017,165
Notice both answers equal 20,017,165

With that explanation out of the way, let's continue. Next, we take the number 20,017,165 and divide it by 2:

20,017,165 ÷ 2 = 10,008,582.5

If the quotient is a whole number, then 2 and 10,008,582.5 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 20,017,165
-1 -20,017,165

Now, we try dividing 20,017,165 by 3:

20,017,165 ÷ 3 = 6,672,388.3333

If the quotient is a whole number, then 3 and 6,672,388.3333 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 20,017,165
-1 -20,017,165

Let's try dividing by 4:

20,017,165 ÷ 4 = 5,004,291.25

If the quotient is a whole number, then 4 and 5,004,291.25 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 20,017,165
-1 20,017,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157193135951331552175896659711,0852,9454,1234,8556,79718,44920,61530,10133,98592,245129,143150,505210,707571,919645,7151,053,5352,859,5954,003,43320,017,165
-1-5-7-19-31-35-95-133-155-217-589-665-971-1,085-2,945-4,123-4,855-6,797-18,449-20,615-30,101-33,985-92,245-129,143-150,505-210,707-571,919-645,715-1,053,535-2,859,595-4,003,433-20,017,165

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