Q: What are the factor combinations of the number 24,484,103?

 A:
Positive:   1 x 244841037 x 349772919 x 1288637133 x 184091361 x 678232527 x 9689
Negative: -1 x -24484103-7 x -3497729-19 x -1288637-133 x -184091-361 x -67823-2527 x -9689


How do I find the factor combinations of the number 24,484,103?

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 24,484,103, 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 24,484,103
-1 -24,484,103

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 24,484,103.

Example:
1 x 24,484,103 = 24,484,103
and
-1 x -24,484,103 = 24,484,103
Notice both answers equal 24,484,103

With that explanation out of the way, let's continue. Next, we take the number 24,484,103 and divide it by 2:

24,484,103 ÷ 2 = 12,242,051.5

If the quotient is a whole number, then 2 and 12,242,051.5 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 24,484,103
-1 -24,484,103

Now, we try dividing 24,484,103 by 3:

24,484,103 ÷ 3 = 8,161,367.6667

If the quotient is a whole number, then 3 and 8,161,367.6667 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 24,484,103
-1 -24,484,103

Let's try dividing by 4:

24,484,103 ÷ 4 = 6,121,025.75

If the quotient is a whole number, then 4 and 6,121,025.75 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 24,484,103
-1 24,484,103
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333612,5279,68967,823184,0911,288,6373,497,72924,484,103
-1-7-19-133-361-2,527-9,689-67,823-184,091-1,288,637-3,497,729-24,484,103

More Examples

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