Q: What are the factor combinations of the number 124,003,729?

 A:
Positive:   1 x 12400372917 x 729433753 x 2339693229 x 541501601 x 206329901 x 1376293893 x 3185310217 x 12137
Negative: -1 x -124003729-17 x -7294337-53 x -2339693-229 x -541501-601 x -206329-901 x -137629-3893 x -31853-10217 x -12137


How do I find the factor combinations of the number 124,003,729?

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 124,003,729, 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.

1 124,003,729
-1 -124,003,729

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 124,003,729.

Example:
1 x 124,003,729 = 124,003,729
and
-1 x -124,003,729 = 124,003,729
Notice both answers equal 124,003,729

With that explanation out of the way, let's continue. Next, we take the number 124,003,729 and divide it by 2:

124,003,729 ÷ 2 = 62,001,864.5

If the quotient is a whole number, then 2 and 62,001,864.5 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:

1 124,003,729
-1 -124,003,729

Now, we try dividing 124,003,729 by 3:

124,003,729 ÷ 3 = 41,334,576.3333

If the quotient is a whole number, then 3 and 41,334,576.3333 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:

1 124,003,729
-1 -124,003,729

Let's try dividing by 4:

124,003,729 ÷ 4 = 31,000,932.25

If the quotient is a whole number, then 4 and 31,000,932.25 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:

1 124,003,729
-1 124,003,729
Keep dividing by the next highest number until you cannot divide anymore.

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

117532296019013,89310,21712,13731,853137,629206,329541,5012,339,6937,294,337124,003,729
-1-17-53-229-601-901-3,893-10,217-12,137-31,853-137,629-206,329-541,501-2,339,693-7,294,337-124,003,729

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 124,003,729:


Ask a Question