Q: What are the factor combinations of the number 24,604,645?

 A:
Positive:   1 x 246046455 x 492092913 x 189266565 x 378533
Negative: -1 x -24604645-5 x -4920929-13 x -1892665-65 x -378533


How do I find the factor combinations of the number 24,604,645?

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 24,604,645, 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 24,604,645
-1 -24,604,645

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 24,604,645.

Example:
1 x 24,604,645 = 24,604,645
and
-1 x -24,604,645 = 24,604,645
Notice both answers equal 24,604,645

With that explanation out of the way, let's continue. Next, we take the number 24,604,645 and divide it by 2:

24,604,645 ÷ 2 = 12,302,322.5

If the quotient is a whole number, then 2 and 12,302,322.5 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 24,604,645
-1 -24,604,645

Now, we try dividing 24,604,645 by 3:

24,604,645 ÷ 3 = 8,201,548.3333

If the quotient is a whole number, then 3 and 8,201,548.3333 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 24,604,645
-1 -24,604,645

Let's try dividing by 4:

24,604,645 ÷ 4 = 6,151,161.25

If the quotient is a whole number, then 4 and 6,151,161.25 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 24,604,645
-1 24,604,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151365378,5331,892,6654,920,92924,604,645
-1-5-13-65-378,533-1,892,665-4,920,929-24,604,645

More Examples

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