Q: What are the factor combinations of the number 124,003,523?

 A:
Positive:   1 x 1240035237 x 17714789109 x 1137647331 x 374633491 x 252553763 x 1625212317 x 535193437 x 36079
Negative: -1 x -124003523-7 x -17714789-109 x -1137647-331 x -374633-491 x -252553-763 x -162521-2317 x -53519-3437 x -36079


How do I find the factor combinations of the number 124,003,523?

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 124,003,523, 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.

1 124,003,523
-1 -124,003,523

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 124,003,523.

Example:
1 x 124,003,523 = 124,003,523
and
-1 x -124,003,523 = 124,003,523
Notice both answers equal 124,003,523

With that explanation out of the way, let's continue. Next, we take the number 124,003,523 and divide it by 2:

124,003,523 ÷ 2 = 62,001,761.5

If the quotient is a whole number, then 2 and 62,001,761.5 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:

1 124,003,523
-1 -124,003,523

Now, we try dividing 124,003,523 by 3:

124,003,523 ÷ 3 = 41,334,507.6667

If the quotient is a whole number, then 3 and 41,334,507.6667 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:

1 124,003,523
-1 -124,003,523

Let's try dividing by 4:

124,003,523 ÷ 4 = 31,000,880.75

If the quotient is a whole number, then 4 and 31,000,880.75 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:

1 124,003,523
-1 124,003,523
Keep dividing by the next highest number until you cannot divide anymore.

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

171093314917632,3173,43736,07953,519162,521252,553374,6331,137,64717,714,789124,003,523
-1-7-109-331-491-763-2,317-3,437-36,079-53,519-162,521-252,553-374,633-1,137,647-17,714,789-124,003,523

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 124,003,523:


Ask a Question