Q: What are the factor combinations of the number 24,037,111?

 A:
Positive:   1 x 240371117 x 343387341 x 58627161 x 394051287 x 83753427 x 562931373 x 175072501 x 9611
Negative: -1 x -24037111-7 x -3433873-41 x -586271-61 x -394051-287 x -83753-427 x -56293-1373 x -17507-2501 x -9611


How do I find the factor combinations of the number 24,037,111?

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 24,037,111, 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 24,037,111
-1 -24,037,111

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 24,037,111.

Example:
1 x 24,037,111 = 24,037,111
and
-1 x -24,037,111 = 24,037,111
Notice both answers equal 24,037,111

With that explanation out of the way, let's continue. Next, we take the number 24,037,111 and divide it by 2:

24,037,111 ÷ 2 = 12,018,555.5

If the quotient is a whole number, then 2 and 12,018,555.5 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 24,037,111
-1 -24,037,111

Now, we try dividing 24,037,111 by 3:

24,037,111 ÷ 3 = 8,012,370.3333

If the quotient is a whole number, then 3 and 8,012,370.3333 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 24,037,111
-1 -24,037,111

Let's try dividing by 4:

24,037,111 ÷ 4 = 6,009,277.75

If the quotient is a whole number, then 4 and 6,009,277.75 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 24,037,111
-1 24,037,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1741612874271,3732,5019,61117,50756,29383,753394,051586,2713,433,87324,037,111
-1-7-41-61-287-427-1,373-2,501-9,611-17,507-56,293-83,753-394,051-586,271-3,433,873-24,037,111

More Examples

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