Q: What are the factor combinations of the number 24,532,453?

 A:
Positive:   1 x 2453245311 x 223022373 x 336061137 x 179069223 x 110011803 x 305511507 x 162792453 x 10001
Negative: -1 x -24532453-11 x -2230223-73 x -336061-137 x -179069-223 x -110011-803 x -30551-1507 x -16279-2453 x -10001


How do I find the factor combinations of the number 24,532,453?

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 24,532,453, 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 24,532,453
-1 -24,532,453

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 24,532,453.

Example:
1 x 24,532,453 = 24,532,453
and
-1 x -24,532,453 = 24,532,453
Notice both answers equal 24,532,453

With that explanation out of the way, let's continue. Next, we take the number 24,532,453 and divide it by 2:

24,532,453 ÷ 2 = 12,266,226.5

If the quotient is a whole number, then 2 and 12,266,226.5 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 24,532,453
-1 -24,532,453

Now, we try dividing 24,532,453 by 3:

24,532,453 ÷ 3 = 8,177,484.3333

If the quotient is a whole number, then 3 and 8,177,484.3333 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 24,532,453
-1 -24,532,453

Let's try dividing by 4:

24,532,453 ÷ 4 = 6,133,113.25

If the quotient is a whole number, then 4 and 6,133,113.25 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 24,532,453
-1 24,532,453
Keep dividing by the next highest number until you cannot divide anymore.

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

111731372238031,5072,45310,00116,27930,551110,011179,069336,0612,230,22324,532,453
-1-11-73-137-223-803-1,507-2,453-10,001-16,279-30,551-110,011-179,069-336,061-2,230,223-24,532,453

More Examples

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