Q: What are the factor combinations of the number 124,003,099?

 A:
Positive:   1 x 12400309911 x 1127300943 x 2883793121 x 1024819473 x 2621635203 x 23833
Negative: -1 x -124003099-11 x -11273009-43 x -2883793-121 x -1024819-473 x -262163-5203 x -23833


How do I find the factor combinations of the number 124,003,099?

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 124,003,099, 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.

1 124,003,099
-1 -124,003,099

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 124,003,099.

Example:
1 x 124,003,099 = 124,003,099
and
-1 x -124,003,099 = 124,003,099
Notice both answers equal 124,003,099

With that explanation out of the way, let's continue. Next, we take the number 124,003,099 and divide it by 2:

124,003,099 ÷ 2 = 62,001,549.5

If the quotient is a whole number, then 2 and 62,001,549.5 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:

1 124,003,099
-1 -124,003,099

Now, we try dividing 124,003,099 by 3:

124,003,099 ÷ 3 = 41,334,366.3333

If the quotient is a whole number, then 3 and 41,334,366.3333 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:

1 124,003,099
-1 -124,003,099

Let's try dividing by 4:

124,003,099 ÷ 4 = 31,000,774.75

If the quotient is a whole number, then 4 and 31,000,774.75 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:

1 124,003,099
-1 124,003,099
Keep dividing by the next highest number until you cannot divide anymore.

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

111431214735,20323,833262,1631,024,8192,883,79311,273,009124,003,099
-1-11-43-121-473-5,203-23,833-262,163-1,024,819-2,883,793-11,273,009-124,003,099

More Examples

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