Q: What are the factor combinations of the number 20,273,617?

 A:
Positive:   1 x 202736177 x 289623113 x 155950991 x 222787
Negative: -1 x -20273617-7 x -2896231-13 x -1559509-91 x -222787


How do I find the factor combinations of the number 20,273,617?

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 20,273,617, 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 20,273,617
-1 -20,273,617

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 20,273,617.

Example:
1 x 20,273,617 = 20,273,617
and
-1 x -20,273,617 = 20,273,617
Notice both answers equal 20,273,617

With that explanation out of the way, let's continue. Next, we take the number 20,273,617 and divide it by 2:

20,273,617 ÷ 2 = 10,136,808.5

If the quotient is a whole number, then 2 and 10,136,808.5 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 20,273,617
-1 -20,273,617

Now, we try dividing 20,273,617 by 3:

20,273,617 ÷ 3 = 6,757,872.3333

If the quotient is a whole number, then 3 and 6,757,872.3333 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 20,273,617
-1 -20,273,617

Let's try dividing by 4:

20,273,617 ÷ 4 = 5,068,404.25

If the quotient is a whole number, then 4 and 5,068,404.25 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 20,273,617
-1 20,273,617
Keep dividing by the next highest number until you cannot divide anymore.

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

171391222,7871,559,5092,896,23120,273,617
-1-7-13-91-222,787-1,559,509-2,896,231-20,273,617

More Examples

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