Q: What are the factor combinations of the number 124,316,225?

 A:
Positive:   1 x 1243162255 x 2486324511 x 1130147525 x 497264943 x 289107555 x 2260295215 x 578215275 x 452059473 x 2628251075 x 1156432365 x 5256510513 x 11825
Negative: -1 x -124316225-5 x -24863245-11 x -11301475-25 x -4972649-43 x -2891075-55 x -2260295-215 x -578215-275 x -452059-473 x -262825-1075 x -115643-2365 x -52565-10513 x -11825


How do I find the factor combinations of the number 124,316,225?

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 124,316,225, 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.

1 124,316,225
-1 -124,316,225

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 124,316,225.

Example:
1 x 124,316,225 = 124,316,225
and
-1 x -124,316,225 = 124,316,225
Notice both answers equal 124,316,225

With that explanation out of the way, let's continue. Next, we take the number 124,316,225 and divide it by 2:

124,316,225 ÷ 2 = 62,158,112.5

If the quotient is a whole number, then 2 and 62,158,112.5 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:

1 124,316,225
-1 -124,316,225

Now, we try dividing 124,316,225 by 3:

124,316,225 ÷ 3 = 41,438,741.6667

If the quotient is a whole number, then 3 and 41,438,741.6667 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:

1 124,316,225
-1 -124,316,225

Let's try dividing by 4:

124,316,225 ÷ 4 = 31,079,056.25

If the quotient is a whole number, then 4 and 31,079,056.25 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:

1 124,316,225
-1 124,316,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754731,0752,36510,51311,82552,565115,643262,825452,059578,2152,260,2952,891,0754,972,64911,301,47524,863,245124,316,225
-1-5-11-25-43-55-215-275-473-1,075-2,365-10,513-11,825-52,565-115,643-262,825-452,059-578,215-2,260,295-2,891,075-4,972,649-11,301,475-24,863,245-124,316,225

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