Q: What are the factor combinations of the number 24,627,407?

 A:
Positive:   1 x 246274077 x 351820117 x 1448671119 x 206953
Negative: -1 x -24627407-7 x -3518201-17 x -1448671-119 x -206953


How do I find the factor combinations of the number 24,627,407?

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 24,627,407, 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 24,627,407
-1 -24,627,407

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 24,627,407.

Example:
1 x 24,627,407 = 24,627,407
and
-1 x -24,627,407 = 24,627,407
Notice both answers equal 24,627,407

With that explanation out of the way, let's continue. Next, we take the number 24,627,407 and divide it by 2:

24,627,407 ÷ 2 = 12,313,703.5

If the quotient is a whole number, then 2 and 12,313,703.5 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 24,627,407
-1 -24,627,407

Now, we try dividing 24,627,407 by 3:

24,627,407 ÷ 3 = 8,209,135.6667

If the quotient is a whole number, then 3 and 8,209,135.6667 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 24,627,407
-1 -24,627,407

Let's try dividing by 4:

24,627,407 ÷ 4 = 6,156,851.75

If the quotient is a whole number, then 4 and 6,156,851.75 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 24,627,407
-1 24,627,407
Keep dividing by the next highest number until you cannot divide anymore.

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

1717119206,9531,448,6713,518,20124,627,407
-1-7-17-119-206,953-1,448,671-3,518,201-24,627,407

More Examples

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