Q: What are the factor combinations of the number 24,331,475?

 A:
Positive:   1 x 243314755 x 48662957 x 347592525 x 97325935 x 695185175 x 139037257 x 94675541 x 449751285 x 189351799 x 135252705 x 89953787 x 6425
Negative: -1 x -24331475-5 x -4866295-7 x -3475925-25 x -973259-35 x -695185-175 x -139037-257 x -94675-541 x -44975-1285 x -18935-1799 x -13525-2705 x -8995-3787 x -6425


How do I find the factor combinations of the number 24,331,475?

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 24,331,475, 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 24,331,475
-1 -24,331,475

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 24,331,475.

Example:
1 x 24,331,475 = 24,331,475
and
-1 x -24,331,475 = 24,331,475
Notice both answers equal 24,331,475

With that explanation out of the way, let's continue. Next, we take the number 24,331,475 and divide it by 2:

24,331,475 ÷ 2 = 12,165,737.5

If the quotient is a whole number, then 2 and 12,165,737.5 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 24,331,475
-1 -24,331,475

Now, we try dividing 24,331,475 by 3:

24,331,475 ÷ 3 = 8,110,491.6667

If the quotient is a whole number, then 3 and 8,110,491.6667 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 24,331,475
-1 -24,331,475

Let's try dividing by 4:

24,331,475 ÷ 4 = 6,082,868.75

If the quotient is a whole number, then 4 and 6,082,868.75 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 24,331,475
-1 24,331,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752575411,2851,7992,7053,7876,4258,99513,52518,93544,97594,675139,037695,185973,2593,475,9254,866,29524,331,475
-1-5-7-25-35-175-257-541-1,285-1,799-2,705-3,787-6,425-8,995-13,525-18,935-44,975-94,675-139,037-695,185-973,259-3,475,925-4,866,295-24,331,475

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