Q: What are the factor combinations of the number 24,334,429?

 A:
Positive:   1 x 243344297 x 347634717 x 143143749 x 496621119 x 204491131 x 185759223 x 109123833 x 29213917 x 265371561 x 155892227 x 109273791 x 6419
Negative: -1 x -24334429-7 x -3476347-17 x -1431437-49 x -496621-119 x -204491-131 x -185759-223 x -109123-833 x -29213-917 x -26537-1561 x -15589-2227 x -10927-3791 x -6419


How do I find the factor combinations of the number 24,334,429?

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 24,334,429, 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 24,334,429
-1 -24,334,429

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 24,334,429.

Example:
1 x 24,334,429 = 24,334,429
and
-1 x -24,334,429 = 24,334,429
Notice both answers equal 24,334,429

With that explanation out of the way, let's continue. Next, we take the number 24,334,429 and divide it by 2:

24,334,429 ÷ 2 = 12,167,214.5

If the quotient is a whole number, then 2 and 12,167,214.5 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 24,334,429
-1 -24,334,429

Now, we try dividing 24,334,429 by 3:

24,334,429 ÷ 3 = 8,111,476.3333

If the quotient is a whole number, then 3 and 8,111,476.3333 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 24,334,429
-1 -24,334,429

Let's try dividing by 4:

24,334,429 ÷ 4 = 6,083,607.25

If the quotient is a whole number, then 4 and 6,083,607.25 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 24,334,429
-1 24,334,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491191312238339171,5612,2273,7916,41910,92715,58926,53729,213109,123185,759204,491496,6211,431,4373,476,34724,334,429
-1-7-17-49-119-131-223-833-917-1,561-2,227-3,791-6,419-10,927-15,589-26,537-29,213-109,123-185,759-204,491-496,621-1,431,437-3,476,347-24,334,429

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