Q: What are the factor combinations of the number 24,070,249?

 A:
Positive:   1 x 240702497 x 343860717 x 141589783 x 290003119 x 202271581 x 414291411 x 170592437 x 9877
Negative: -1 x -24070249-7 x -3438607-17 x -1415897-83 x -290003-119 x -202271-581 x -41429-1411 x -17059-2437 x -9877


How do I find the factor combinations of the number 24,070,249?

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 24,070,249, 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 24,070,249
-1 -24,070,249

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 24,070,249.

Example:
1 x 24,070,249 = 24,070,249
and
-1 x -24,070,249 = 24,070,249
Notice both answers equal 24,070,249

With that explanation out of the way, let's continue. Next, we take the number 24,070,249 and divide it by 2:

24,070,249 ÷ 2 = 12,035,124.5

If the quotient is a whole number, then 2 and 12,035,124.5 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 24,070,249
-1 -24,070,249

Now, we try dividing 24,070,249 by 3:

24,070,249 ÷ 3 = 8,023,416.3333

If the quotient is a whole number, then 3 and 8,023,416.3333 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 24,070,249
-1 -24,070,249

Let's try dividing by 4:

24,070,249 ÷ 4 = 6,017,562.25

If the quotient is a whole number, then 4 and 6,017,562.25 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 24,070,249
-1 24,070,249
Keep dividing by the next highest number until you cannot divide anymore.

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

1717831195811,4112,4379,87717,05941,429202,271290,0031,415,8973,438,60724,070,249
-1-7-17-83-119-581-1,411-2,437-9,877-17,059-41,429-202,271-290,003-1,415,897-3,438,607-24,070,249

More Examples

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