Q: What are the factor combinations of the number 20,724,649?

 A:
Positive:   1 x 2072464911 x 188405917 x 121909719 x 1090771187 x 110827209 x 99161307 x 67507323 x 64163361 x 574093377 x 61373553 x 58333971 x 5219
Negative: -1 x -20724649-11 x -1884059-17 x -1219097-19 x -1090771-187 x -110827-209 x -99161-307 x -67507-323 x -64163-361 x -57409-3377 x -6137-3553 x -5833-3971 x -5219


How do I find the factor combinations of the number 20,724,649?

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 20,724,649, 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 20,724,649
-1 -20,724,649

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 20,724,649.

Example:
1 x 20,724,649 = 20,724,649
and
-1 x -20,724,649 = 20,724,649
Notice both answers equal 20,724,649

With that explanation out of the way, let's continue. Next, we take the number 20,724,649 and divide it by 2:

20,724,649 ÷ 2 = 10,362,324.5

If the quotient is a whole number, then 2 and 10,362,324.5 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 20,724,649
-1 -20,724,649

Now, we try dividing 20,724,649 by 3:

20,724,649 ÷ 3 = 6,908,216.3333

If the quotient is a whole number, then 3 and 6,908,216.3333 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 20,724,649
-1 -20,724,649

Let's try dividing by 4:

20,724,649 ÷ 4 = 5,181,162.25

If the quotient is a whole number, then 4 and 5,181,162.25 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 20,724,649
-1 20,724,649
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093073233613,3773,5533,9715,2195,8336,13757,40964,16367,50799,161110,8271,090,7711,219,0971,884,05920,724,649
-1-11-17-19-187-209-307-323-361-3,377-3,553-3,971-5,219-5,833-6,137-57,409-64,163-67,507-99,161-110,827-1,090,771-1,219,097-1,884,059-20,724,649

More Examples

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