Q: What are the factor combinations of the number 20,214,607?

 A:
Positive:   1 x 202146077 x 288780149 x 41254361 x 331387427 x 473412989 x 6763
Negative: -1 x -20214607-7 x -2887801-49 x -412543-61 x -331387-427 x -47341-2989 x -6763


How do I find the factor combinations of the number 20,214,607?

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 20,214,607, 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 20,214,607
-1 -20,214,607

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 20,214,607.

Example:
1 x 20,214,607 = 20,214,607
and
-1 x -20,214,607 = 20,214,607
Notice both answers equal 20,214,607

With that explanation out of the way, let's continue. Next, we take the number 20,214,607 and divide it by 2:

20,214,607 ÷ 2 = 10,107,303.5

If the quotient is a whole number, then 2 and 10,107,303.5 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 20,214,607
-1 -20,214,607

Now, we try dividing 20,214,607 by 3:

20,214,607 ÷ 3 = 6,738,202.3333

If the quotient is a whole number, then 3 and 6,738,202.3333 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 20,214,607
-1 -20,214,607

Let's try dividing by 4:

20,214,607 ÷ 4 = 5,053,651.75

If the quotient is a whole number, then 4 and 5,053,651.75 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 20,214,607
-1 20,214,607
Keep dividing by the next highest number until you cannot divide anymore.

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

1749614272,9896,76347,341331,387412,5432,887,80120,214,607
-1-7-49-61-427-2,989-6,763-47,341-331,387-412,543-2,887,801-20,214,607

More Examples

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