Q: What are the factor combinations of the number 20,697,169?

 A:
Positive:   1 x 2069716941 x 504809181 x 1143492789 x 7421
Negative: -1 x -20697169-41 x -504809-181 x -114349-2789 x -7421


How do I find the factor combinations of the number 20,697,169?

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 20,697,169, 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 20,697,169
-1 -20,697,169

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 20,697,169.

Example:
1 x 20,697,169 = 20,697,169
and
-1 x -20,697,169 = 20,697,169
Notice both answers equal 20,697,169

With that explanation out of the way, let's continue. Next, we take the number 20,697,169 and divide it by 2:

20,697,169 ÷ 2 = 10,348,584.5

If the quotient is a whole number, then 2 and 10,348,584.5 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 20,697,169
-1 -20,697,169

Now, we try dividing 20,697,169 by 3:

20,697,169 ÷ 3 = 6,899,056.3333

If the quotient is a whole number, then 3 and 6,899,056.3333 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 20,697,169
-1 -20,697,169

Let's try dividing by 4:

20,697,169 ÷ 4 = 5,174,292.25

If the quotient is a whole number, then 4 and 5,174,292.25 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 20,697,169
-1 20,697,169
Keep dividing by the next highest number until you cannot divide anymore.

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

1411812,7897,421114,349504,80920,697,169
-1-41-181-2,789-7,421-114,349-504,809-20,697,169

More Examples

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