Q: What are the factor combinations of the number 24,396,701?

 A:
Positive:   1 x 243967017 x 348524379 x 308819157 x 155393281 x 86821553 x 441171099 x 221991967 x 12403
Negative: -1 x -24396701-7 x -3485243-79 x -308819-157 x -155393-281 x -86821-553 x -44117-1099 x -22199-1967 x -12403


How do I find the factor combinations of the number 24,396,701?

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 24,396,701, 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 24,396,701
-1 -24,396,701

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 24,396,701.

Example:
1 x 24,396,701 = 24,396,701
and
-1 x -24,396,701 = 24,396,701
Notice both answers equal 24,396,701

With that explanation out of the way, let's continue. Next, we take the number 24,396,701 and divide it by 2:

24,396,701 ÷ 2 = 12,198,350.5

If the quotient is a whole number, then 2 and 12,198,350.5 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 24,396,701
-1 -24,396,701

Now, we try dividing 24,396,701 by 3:

24,396,701 ÷ 3 = 8,132,233.6667

If the quotient is a whole number, then 3 and 8,132,233.6667 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 24,396,701
-1 -24,396,701

Let's try dividing by 4:

24,396,701 ÷ 4 = 6,099,175.25

If the quotient is a whole number, then 4 and 6,099,175.25 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 24,396,701
-1 24,396,701
Keep dividing by the next highest number until you cannot divide anymore.

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

17791572815531,0991,96712,40322,19944,11786,821155,393308,8193,485,24324,396,701
-1-7-79-157-281-553-1,099-1,967-12,403-22,199-44,117-86,821-155,393-308,819-3,485,243-24,396,701

More Examples

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