Q: What are the factor combinations of the number 24,020,437?

 A:
Positive:   1 x 240204377 x 343149137 x 64920149 x 490213259 x 927431813 x 13249
Negative: -1 x -24020437-7 x -3431491-37 x -649201-49 x -490213-259 x -92743-1813 x -13249


How do I find the factor combinations of the number 24,020,437?

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 24,020,437, 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 24,020,437
-1 -24,020,437

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 24,020,437.

Example:
1 x 24,020,437 = 24,020,437
and
-1 x -24,020,437 = 24,020,437
Notice both answers equal 24,020,437

With that explanation out of the way, let's continue. Next, we take the number 24,020,437 and divide it by 2:

24,020,437 ÷ 2 = 12,010,218.5

If the quotient is a whole number, then 2 and 12,010,218.5 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 24,020,437
-1 -24,020,437

Now, we try dividing 24,020,437 by 3:

24,020,437 ÷ 3 = 8,006,812.3333

If the quotient is a whole number, then 3 and 8,006,812.3333 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 24,020,437
-1 -24,020,437

Let's try dividing by 4:

24,020,437 ÷ 4 = 6,005,109.25

If the quotient is a whole number, then 4 and 6,005,109.25 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 24,020,437
-1 24,020,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492591,81313,24992,743490,213649,2013,431,49124,020,437
-1-7-37-49-259-1,813-13,249-92,743-490,213-649,201-3,431,491-24,020,437

More Examples

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