Q: What are the factor combinations of the number 24,046,645?

 A:
Positive:   1 x 240466455 x 48093297 x 343523535 x 687047107 x 224735535 x 44947749 x 321053745 x 6421
Negative: -1 x -24046645-5 x -4809329-7 x -3435235-35 x -687047-107 x -224735-535 x -44947-749 x -32105-3745 x -6421


How do I find the factor combinations of the number 24,046,645?

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 24,046,645, 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 24,046,645
-1 -24,046,645

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 24,046,645.

Example:
1 x 24,046,645 = 24,046,645
and
-1 x -24,046,645 = 24,046,645
Notice both answers equal 24,046,645

With that explanation out of the way, let's continue. Next, we take the number 24,046,645 and divide it by 2:

24,046,645 ÷ 2 = 12,023,322.5

If the quotient is a whole number, then 2 and 12,023,322.5 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 24,046,645
-1 -24,046,645

Now, we try dividing 24,046,645 by 3:

24,046,645 ÷ 3 = 8,015,548.3333

If the quotient is a whole number, then 3 and 8,015,548.3333 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 24,046,645
-1 -24,046,645

Let's try dividing by 4:

24,046,645 ÷ 4 = 6,011,661.25

If the quotient is a whole number, then 4 and 6,011,661.25 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 24,046,645
-1 24,046,645
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,7456,42132,10544,947224,735687,0473,435,2354,809,32924,046,645
-1-5-7-35-107-535-749-3,745-6,421-32,105-44,947-224,735-687,047-3,435,235-4,809,329-24,046,645

More Examples

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