Q: What are the factor combinations of the number 20,620,565?

 A:
Positive:   1 x 206205655 x 41241137 x 294579535 x 589159
Negative: -1 x -20620565-5 x -4124113-7 x -2945795-35 x -589159


How do I find the factor combinations of the number 20,620,565?

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 20,620,565, 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 20,620,565
-1 -20,620,565

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 20,620,565.

Example:
1 x 20,620,565 = 20,620,565
and
-1 x -20,620,565 = 20,620,565
Notice both answers equal 20,620,565

With that explanation out of the way, let's continue. Next, we take the number 20,620,565 and divide it by 2:

20,620,565 ÷ 2 = 10,310,282.5

If the quotient is a whole number, then 2 and 10,310,282.5 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 20,620,565
-1 -20,620,565

Now, we try dividing 20,620,565 by 3:

20,620,565 ÷ 3 = 6,873,521.6667

If the quotient is a whole number, then 3 and 6,873,521.6667 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 20,620,565
-1 -20,620,565

Let's try dividing by 4:

20,620,565 ÷ 4 = 5,155,141.25

If the quotient is a whole number, then 4 and 5,155,141.25 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 20,620,565
-1 20,620,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15735589,1592,945,7954,124,11320,620,565
-1-5-7-35-589,159-2,945,795-4,124,113-20,620,565

More Examples

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