Q: What are the factor combinations of the number 24,467,777?

 A:
Positive:   1 x 2446777717 x 143928147 x 520591113 x 216529271 x 90287799 x 306231921 x 127374607 x 5311
Negative: -1 x -24467777-17 x -1439281-47 x -520591-113 x -216529-271 x -90287-799 x -30623-1921 x -12737-4607 x -5311


How do I find the factor combinations of the number 24,467,777?

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 24,467,777, 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 24,467,777
-1 -24,467,777

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 24,467,777.

Example:
1 x 24,467,777 = 24,467,777
and
-1 x -24,467,777 = 24,467,777
Notice both answers equal 24,467,777

With that explanation out of the way, let's continue. Next, we take the number 24,467,777 and divide it by 2:

24,467,777 ÷ 2 = 12,233,888.5

If the quotient is a whole number, then 2 and 12,233,888.5 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 24,467,777
-1 -24,467,777

Now, we try dividing 24,467,777 by 3:

24,467,777 ÷ 3 = 8,155,925.6667

If the quotient is a whole number, then 3 and 8,155,925.6667 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 24,467,777
-1 -24,467,777

Let's try dividing by 4:

24,467,777 ÷ 4 = 6,116,944.25

If the quotient is a whole number, then 4 and 6,116,944.25 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 24,467,777
-1 24,467,777
Keep dividing by the next highest number until you cannot divide anymore.

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

117471132717991,9214,6075,31112,73730,62390,287216,529520,5911,439,28124,467,777
-1-17-47-113-271-799-1,921-4,607-5,311-12,737-30,623-90,287-216,529-520,591-1,439,281-24,467,777

More Examples

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