Q: What are the factor combinations of the number 24,123,407?

 A:
Positive:   1 x 241234077 x 344620111 x 219303719 x 126965377 x 313291121 x 199367133 x 181379209 x 115423847 x 284811463 x 164891499 x 160932299 x 10493
Negative: -1 x -24123407-7 x -3446201-11 x -2193037-19 x -1269653-77 x -313291-121 x -199367-133 x -181379-209 x -115423-847 x -28481-1463 x -16489-1499 x -16093-2299 x -10493


How do I find the factor combinations of the number 24,123,407?

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 24,123,407, 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 24,123,407
-1 -24,123,407

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 24,123,407.

Example:
1 x 24,123,407 = 24,123,407
and
-1 x -24,123,407 = 24,123,407
Notice both answers equal 24,123,407

With that explanation out of the way, let's continue. Next, we take the number 24,123,407 and divide it by 2:

24,123,407 ÷ 2 = 12,061,703.5

If the quotient is a whole number, then 2 and 12,061,703.5 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 24,123,407
-1 -24,123,407

Now, we try dividing 24,123,407 by 3:

24,123,407 ÷ 3 = 8,041,135.6667

If the quotient is a whole number, then 3 and 8,041,135.6667 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 24,123,407
-1 -24,123,407

Let's try dividing by 4:

24,123,407 ÷ 4 = 6,030,851.75

If the quotient is a whole number, then 4 and 6,030,851.75 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 24,123,407
-1 24,123,407
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771211332098471,4631,4992,29910,49316,09316,48928,481115,423181,379199,367313,2911,269,6532,193,0373,446,20124,123,407
-1-7-11-19-77-121-133-209-847-1,463-1,499-2,299-10,493-16,093-16,489-28,481-115,423-181,379-199,367-313,291-1,269,653-2,193,037-3,446,201-24,123,407

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,123,407:


Ask a Question