Q: What are the factor combinations of the number 20,022,037?

 A:
Positive:   1 x 200220377 x 286029149 x 408613317 x 631611289 x 155332219 x 9023
Negative: -1 x -20022037-7 x -2860291-49 x -408613-317 x -63161-1289 x -15533-2219 x -9023


How do I find the factor combinations of the number 20,022,037?

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 20,022,037, 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 20,022,037
-1 -20,022,037

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 20,022,037.

Example:
1 x 20,022,037 = 20,022,037
and
-1 x -20,022,037 = 20,022,037
Notice both answers equal 20,022,037

With that explanation out of the way, let's continue. Next, we take the number 20,022,037 and divide it by 2:

20,022,037 ÷ 2 = 10,011,018.5

If the quotient is a whole number, then 2 and 10,011,018.5 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 20,022,037
-1 -20,022,037

Now, we try dividing 20,022,037 by 3:

20,022,037 ÷ 3 = 6,674,012.3333

If the quotient is a whole number, then 3 and 6,674,012.3333 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 20,022,037
-1 -20,022,037

Let's try dividing by 4:

20,022,037 ÷ 4 = 5,005,509.25

If the quotient is a whole number, then 4 and 5,005,509.25 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 20,022,037
-1 20,022,037
Keep dividing by the next highest number until you cannot divide anymore.

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

17493171,2892,2199,02315,53363,161408,6132,860,29120,022,037
-1-7-49-317-1,289-2,219-9,023-15,533-63,161-408,613-2,860,291-20,022,037

More Examples

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