Q: What are the factor combinations of the number 20,230,507?

 A:
Positive:   1 x 2023050711 x 183913731 x 65259741 x 493427341 x 59327451 x 448571271 x 159171447 x 13981
Negative: -1 x -20230507-11 x -1839137-31 x -652597-41 x -493427-341 x -59327-451 x -44857-1271 x -15917-1447 x -13981


How do I find the factor combinations of the number 20,230,507?

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 20,230,507, 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 20,230,507
-1 -20,230,507

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 20,230,507.

Example:
1 x 20,230,507 = 20,230,507
and
-1 x -20,230,507 = 20,230,507
Notice both answers equal 20,230,507

With that explanation out of the way, let's continue. Next, we take the number 20,230,507 and divide it by 2:

20,230,507 ÷ 2 = 10,115,253.5

If the quotient is a whole number, then 2 and 10,115,253.5 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 20,230,507
-1 -20,230,507

Now, we try dividing 20,230,507 by 3:

20,230,507 ÷ 3 = 6,743,502.3333

If the quotient is a whole number, then 3 and 6,743,502.3333 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 20,230,507
-1 -20,230,507

Let's try dividing by 4:

20,230,507 ÷ 4 = 5,057,626.75

If the quotient is a whole number, then 4 and 5,057,626.75 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 20,230,507
-1 20,230,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11131413414511,2711,44713,98115,91744,85759,327493,427652,5971,839,13720,230,507
-1-11-31-41-341-451-1,271-1,447-13,981-15,917-44,857-59,327-493,427-652,597-1,839,137-20,230,507

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