Q: What are the factor combinations of the number 48,924,629?

 A:
Positive:   1 x 4892462913 x 376343359 x 829231227 x 215527281 x 174109767 x 637872951 x 165793653 x 13393
Negative: -1 x -48924629-13 x -3763433-59 x -829231-227 x -215527-281 x -174109-767 x -63787-2951 x -16579-3653 x -13393


How do I find the factor combinations of the number 48,924,629?

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 48,924,629, 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 48,924,629
-1 -48,924,629

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 48,924,629.

Example:
1 x 48,924,629 = 48,924,629
and
-1 x -48,924,629 = 48,924,629
Notice both answers equal 48,924,629

With that explanation out of the way, let's continue. Next, we take the number 48,924,629 and divide it by 2:

48,924,629 ÷ 2 = 24,462,314.5

If the quotient is a whole number, then 2 and 24,462,314.5 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 48,924,629
-1 -48,924,629

Now, we try dividing 48,924,629 by 3:

48,924,629 ÷ 3 = 16,308,209.6667

If the quotient is a whole number, then 3 and 16,308,209.6667 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 48,924,629
-1 -48,924,629

Let's try dividing by 4:

48,924,629 ÷ 4 = 12,231,157.25

If the quotient is a whole number, then 4 and 12,231,157.25 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 48,924,629
-1 48,924,629
Keep dividing by the next highest number until you cannot divide anymore.

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

113592272817672,9513,65313,39316,57963,787174,109215,527829,2313,763,43348,924,629
-1-13-59-227-281-767-2,951-3,653-13,393-16,579-63,787-174,109-215,527-829,231-3,763,433-48,924,629

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 48,924,629:


Ask a Question