Q: What are the factor combinations of the number 24,350,045?

 A:
Positive:   1 x 243500455 x 4870009
Negative: -1 x -24350045-5 x -4870009


How do I find the factor combinations of the number 24,350,045?

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 24,350,045, 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 24,350,045
-1 -24,350,045

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 24,350,045.

Example:
1 x 24,350,045 = 24,350,045
and
-1 x -24,350,045 = 24,350,045
Notice both answers equal 24,350,045

With that explanation out of the way, let's continue. Next, we take the number 24,350,045 and divide it by 2:

24,350,045 ÷ 2 = 12,175,022.5

If the quotient is a whole number, then 2 and 12,175,022.5 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 24,350,045
-1 -24,350,045

Now, we try dividing 24,350,045 by 3:

24,350,045 ÷ 3 = 8,116,681.6667

If the quotient is a whole number, then 3 and 8,116,681.6667 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 24,350,045
-1 -24,350,045

Let's try dividing by 4:

24,350,045 ÷ 4 = 6,087,511.25

If the quotient is a whole number, then 4 and 6,087,511.25 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 24,350,045
-1 24,350,045
Keep dividing by the next highest number until you cannot divide anymore.

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

154,870,00924,350,045
-1-5-4,870,009-24,350,045

More Examples

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