Q: What are the factor combinations of the number 124,002,043?

 A:
Positive:   1 x 12400204311 x 11272913101 x 1227743239 x 518837467 x 2655291111 x 1116132629 x 471675137 x 24139
Negative: -1 x -124002043-11 x -11272913-101 x -1227743-239 x -518837-467 x -265529-1111 x -111613-2629 x -47167-5137 x -24139


How do I find the factor combinations of the number 124,002,043?

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 124,002,043, 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.

1 124,002,043
-1 -124,002,043

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 124,002,043.

Example:
1 x 124,002,043 = 124,002,043
and
-1 x -124,002,043 = 124,002,043
Notice both answers equal 124,002,043

With that explanation out of the way, let's continue. Next, we take the number 124,002,043 and divide it by 2:

124,002,043 ÷ 2 = 62,001,021.5

If the quotient is a whole number, then 2 and 62,001,021.5 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:

1 124,002,043
-1 -124,002,043

Now, we try dividing 124,002,043 by 3:

124,002,043 ÷ 3 = 41,334,014.3333

If the quotient is a whole number, then 3 and 41,334,014.3333 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:

1 124,002,043
-1 -124,002,043

Let's try dividing by 4:

124,002,043 ÷ 4 = 31,000,510.75

If the quotient is a whole number, then 4 and 31,000,510.75 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:

1 124,002,043
-1 124,002,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1111012394671,1112,6295,13724,13947,167111,613265,529518,8371,227,74311,272,913124,002,043
-1-11-101-239-467-1,111-2,629-5,137-24,139-47,167-111,613-265,529-518,837-1,227,743-11,272,913-124,002,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 124,002,043:


Ask a Question