Q: What are the factor combinations of the number 24,412,435?

 A:
Positive:   1 x 244124355 x 488248719 x 128486595 x 256973313 x 77995821 x 297351565 x 155994105 x 5947
Negative: -1 x -24412435-5 x -4882487-19 x -1284865-95 x -256973-313 x -77995-821 x -29735-1565 x -15599-4105 x -5947


How do I find the factor combinations of the number 24,412,435?

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 24,412,435, 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 24,412,435
-1 -24,412,435

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 24,412,435.

Example:
1 x 24,412,435 = 24,412,435
and
-1 x -24,412,435 = 24,412,435
Notice both answers equal 24,412,435

With that explanation out of the way, let's continue. Next, we take the number 24,412,435 and divide it by 2:

24,412,435 ÷ 2 = 12,206,217.5

If the quotient is a whole number, then 2 and 12,206,217.5 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 24,412,435
-1 -24,412,435

Now, we try dividing 24,412,435 by 3:

24,412,435 ÷ 3 = 8,137,478.3333

If the quotient is a whole number, then 3 and 8,137,478.3333 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 24,412,435
-1 -24,412,435

Let's try dividing by 4:

24,412,435 ÷ 4 = 6,103,108.75

If the quotient is a whole number, then 4 and 6,103,108.75 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 24,412,435
-1 24,412,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953138211,5654,1055,94715,59929,73577,995256,9731,284,8654,882,48724,412,435
-1-5-19-95-313-821-1,565-4,105-5,947-15,599-29,735-77,995-256,973-1,284,865-4,882,487-24,412,435

More Examples

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