Q: What are the factor combinations of the number 118,458,571?

 A:
Positive:   1 x 1184585717 x 1692265311 x 1076896137 x 320158377 x 1538423259 x 457369407 x 2910532849 x 41579
Negative: -1 x -118458571-7 x -16922653-11 x -10768961-37 x -3201583-77 x -1538423-259 x -457369-407 x -291053-2849 x -41579


How do I find the factor combinations of the number 118,458,571?

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 118,458,571, 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.

1 118,458,571
-1 -118,458,571

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 118,458,571.

Example:
1 x 118,458,571 = 118,458,571
and
-1 x -118,458,571 = 118,458,571
Notice both answers equal 118,458,571

With that explanation out of the way, let's continue. Next, we take the number 118,458,571 and divide it by 2:

118,458,571 ÷ 2 = 59,229,285.5

If the quotient is a whole number, then 2 and 59,229,285.5 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:

1 118,458,571
-1 -118,458,571

Now, we try dividing 118,458,571 by 3:

118,458,571 ÷ 3 = 39,486,190.3333

If the quotient is a whole number, then 3 and 39,486,190.3333 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:

1 118,458,571
-1 -118,458,571

Let's try dividing by 4:

118,458,571 ÷ 4 = 29,614,642.75

If the quotient is a whole number, then 4 and 29,614,642.75 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:

1 118,458,571
-1 118,458,571
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,84941,579291,053457,3691,538,4233,201,58310,768,96116,922,653118,458,571
-1-7-11-37-77-259-407-2,849-41,579-291,053-457,369-1,538,423-3,201,583-10,768,961-16,922,653-118,458,571

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 118,458,571:


Ask a Question