Q: What are the factor combinations of the number 24,424,435?

 A:
Positive:   1 x 244244355 x 48848877 x 348920531 x 78788535 x 697841155 x 157577217 x 1125551085 x 22511
Negative: -1 x -24424435-5 x -4884887-7 x -3489205-31 x -787885-35 x -697841-155 x -157577-217 x -112555-1085 x -22511


How do I find the factor combinations of the number 24,424,435?

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 24,424,435, 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 24,424,435
-1 -24,424,435

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 24,424,435.

Example:
1 x 24,424,435 = 24,424,435
and
-1 x -24,424,435 = 24,424,435
Notice both answers equal 24,424,435

With that explanation out of the way, let's continue. Next, we take the number 24,424,435 and divide it by 2:

24,424,435 ÷ 2 = 12,212,217.5

If the quotient is a whole number, then 2 and 12,212,217.5 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 24,424,435
-1 -24,424,435

Now, we try dividing 24,424,435 by 3:

24,424,435 ÷ 3 = 8,141,478.3333

If the quotient is a whole number, then 3 and 8,141,478.3333 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 24,424,435
-1 -24,424,435

Let's try dividing by 4:

24,424,435 ÷ 4 = 6,106,108.75

If the quotient is a whole number, then 4 and 6,106,108.75 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 24,424,435
-1 24,424,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08522,511112,555157,577697,841787,8853,489,2054,884,88724,424,435
-1-5-7-31-35-155-217-1,085-22,511-112,555-157,577-697,841-787,885-3,489,205-4,884,887-24,424,435

More Examples

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