Q: What are the factor combinations of the number 24,543,545?

 A:
Positive:   1 x 245435455 x 490870913 x 188796565 x 377593
Negative: -1 x -24543545-5 x -4908709-13 x -1887965-65 x -377593


How do I find the factor combinations of the number 24,543,545?

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 24,543,545, 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 24,543,545
-1 -24,543,545

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 24,543,545.

Example:
1 x 24,543,545 = 24,543,545
and
-1 x -24,543,545 = 24,543,545
Notice both answers equal 24,543,545

With that explanation out of the way, let's continue. Next, we take the number 24,543,545 and divide it by 2:

24,543,545 ÷ 2 = 12,271,772.5

If the quotient is a whole number, then 2 and 12,271,772.5 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 24,543,545
-1 -24,543,545

Now, we try dividing 24,543,545 by 3:

24,543,545 ÷ 3 = 8,181,181.6667

If the quotient is a whole number, then 3 and 8,181,181.6667 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 24,543,545
-1 -24,543,545

Let's try dividing by 4:

24,543,545 ÷ 4 = 6,135,886.25

If the quotient is a whole number, then 4 and 6,135,886.25 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 24,543,545
-1 24,543,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151365377,5931,887,9654,908,70924,543,545
-1-5-13-65-377,593-1,887,965-4,908,709-24,543,545

More Examples

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