Q: What are the factor combinations of the number 24,021,445?

 A:
Positive:   1 x 240214455 x 48042897 x 343163535 x 68632783 x 289415415 x 57883581 x 413452905 x 8269
Negative: -1 x -24021445-5 x -4804289-7 x -3431635-35 x -686327-83 x -289415-415 x -57883-581 x -41345-2905 x -8269


How do I find the factor combinations of the number 24,021,445?

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 24,021,445, 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 24,021,445
-1 -24,021,445

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 24,021,445.

Example:
1 x 24,021,445 = 24,021,445
and
-1 x -24,021,445 = 24,021,445
Notice both answers equal 24,021,445

With that explanation out of the way, let's continue. Next, we take the number 24,021,445 and divide it by 2:

24,021,445 ÷ 2 = 12,010,722.5

If the quotient is a whole number, then 2 and 12,010,722.5 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 24,021,445
-1 -24,021,445

Now, we try dividing 24,021,445 by 3:

24,021,445 ÷ 3 = 8,007,148.3333

If the quotient is a whole number, then 3 and 8,007,148.3333 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 24,021,445
-1 -24,021,445

Let's try dividing by 4:

24,021,445 ÷ 4 = 6,005,361.25

If the quotient is a whole number, then 4 and 6,005,361.25 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 24,021,445
-1 24,021,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834155812,9058,26941,34557,883289,415686,3273,431,6354,804,28924,021,445
-1-5-7-35-83-415-581-2,905-8,269-41,345-57,883-289,415-686,327-3,431,635-4,804,289-24,021,445

More Examples

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