Q: What are the factor combinations of the number 24,431,435?

 A:
Positive:   1 x 244314355 x 48862877 x 349020519 x 128586535 x 69804195 x 257173133 x 183695665 x 36739
Negative: -1 x -24431435-5 x -4886287-7 x -3490205-19 x -1285865-35 x -698041-95 x -257173-133 x -183695-665 x -36739


How do I find the factor combinations of the number 24,431,435?

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 24,431,435, 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 24,431,435
-1 -24,431,435

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 24,431,435.

Example:
1 x 24,431,435 = 24,431,435
and
-1 x -24,431,435 = 24,431,435
Notice both answers equal 24,431,435

With that explanation out of the way, let's continue. Next, we take the number 24,431,435 and divide it by 2:

24,431,435 ÷ 2 = 12,215,717.5

If the quotient is a whole number, then 2 and 12,215,717.5 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 24,431,435
-1 -24,431,435

Now, we try dividing 24,431,435 by 3:

24,431,435 ÷ 3 = 8,143,811.6667

If the quotient is a whole number, then 3 and 8,143,811.6667 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 24,431,435
-1 -24,431,435

Let's try dividing by 4:

24,431,435 ÷ 4 = 6,107,858.75

If the quotient is a whole number, then 4 and 6,107,858.75 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 24,431,435
-1 24,431,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366536,739183,695257,173698,0411,285,8653,490,2054,886,28724,431,435
-1-5-7-19-35-95-133-665-36,739-183,695-257,173-698,041-1,285,865-3,490,205-4,886,287-24,431,435

More Examples

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