Q: What are the factor combinations of the number 20,746,253?

 A:
Positive:   1 x 2074625311 x 188602323 x 90201143 x 482471253 x 82001473 x 43861989 x 209771907 x 10879
Negative: -1 x -20746253-11 x -1886023-23 x -902011-43 x -482471-253 x -82001-473 x -43861-989 x -20977-1907 x -10879


How do I find the factor combinations of the number 20,746,253?

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 20,746,253, 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 20,746,253
-1 -20,746,253

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 20,746,253.

Example:
1 x 20,746,253 = 20,746,253
and
-1 x -20,746,253 = 20,746,253
Notice both answers equal 20,746,253

With that explanation out of the way, let's continue. Next, we take the number 20,746,253 and divide it by 2:

20,746,253 ÷ 2 = 10,373,126.5

If the quotient is a whole number, then 2 and 10,373,126.5 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 20,746,253
-1 -20,746,253

Now, we try dividing 20,746,253 by 3:

20,746,253 ÷ 3 = 6,915,417.6667

If the quotient is a whole number, then 3 and 6,915,417.6667 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 20,746,253
-1 -20,746,253

Let's try dividing by 4:

20,746,253 ÷ 4 = 5,186,563.25

If the quotient is a whole number, then 4 and 5,186,563.25 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 20,746,253
-1 20,746,253
Keep dividing by the next highest number until you cannot divide anymore.

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

11123432534739891,90710,87920,97743,86182,001482,471902,0111,886,02320,746,253
-1-11-23-43-253-473-989-1,907-10,879-20,977-43,861-82,001-482,471-902,011-1,886,023-20,746,253

More Examples

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