Q: What are the factor combinations of the number 24,507,077?

 A:
Positive:   1 x 245070777 x 3501011479 x 511633353 x 7309
Negative: -1 x -24507077-7 x -3501011-479 x -51163-3353 x -7309


How do I find the factor combinations of the number 24,507,077?

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 24,507,077, 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 24,507,077
-1 -24,507,077

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 24,507,077.

Example:
1 x 24,507,077 = 24,507,077
and
-1 x -24,507,077 = 24,507,077
Notice both answers equal 24,507,077

With that explanation out of the way, let's continue. Next, we take the number 24,507,077 and divide it by 2:

24,507,077 ÷ 2 = 12,253,538.5

If the quotient is a whole number, then 2 and 12,253,538.5 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 24,507,077
-1 -24,507,077

Now, we try dividing 24,507,077 by 3:

24,507,077 ÷ 3 = 8,169,025.6667

If the quotient is a whole number, then 3 and 8,169,025.6667 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 24,507,077
-1 -24,507,077

Let's try dividing by 4:

24,507,077 ÷ 4 = 6,126,769.25

If the quotient is a whole number, then 4 and 6,126,769.25 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 24,507,077
-1 24,507,077
Keep dividing by the next highest number until you cannot divide anymore.

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

174793,3537,30951,1633,501,01124,507,077
-1-7-479-3,353-7,309-51,163-3,501,011-24,507,077

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,507,077:


Ask a Question