Q: What are the factor combinations of the number 24,142,465?

 A:
Positive:   1 x 241424655 x 482849317 x 142014585 x 284029431 x 56015659 x 366352155 x 112033295 x 7327
Negative: -1 x -24142465-5 x -4828493-17 x -1420145-85 x -284029-431 x -56015-659 x -36635-2155 x -11203-3295 x -7327


How do I find the factor combinations of the number 24,142,465?

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 24,142,465, 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 24,142,465
-1 -24,142,465

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 24,142,465.

Example:
1 x 24,142,465 = 24,142,465
and
-1 x -24,142,465 = 24,142,465
Notice both answers equal 24,142,465

With that explanation out of the way, let's continue. Next, we take the number 24,142,465 and divide it by 2:

24,142,465 ÷ 2 = 12,071,232.5

If the quotient is a whole number, then 2 and 12,071,232.5 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 24,142,465
-1 -24,142,465

Now, we try dividing 24,142,465 by 3:

24,142,465 ÷ 3 = 8,047,488.3333

If the quotient is a whole number, then 3 and 8,047,488.3333 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 24,142,465
-1 -24,142,465

Let's try dividing by 4:

24,142,465 ÷ 4 = 6,035,616.25

If the quotient is a whole number, then 4 and 6,035,616.25 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 24,142,465
-1 24,142,465
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854316592,1553,2957,32711,20336,63556,015284,0291,420,1454,828,49324,142,465
-1-5-17-85-431-659-2,155-3,295-7,327-11,203-36,635-56,015-284,029-1,420,145-4,828,493-24,142,465

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,142,465:


Ask a Question