Q: What are the factor combinations of the number 143,625,041?

 A:
Positive:   1 x 1436250417 x 2051786323 x 6244567161 x 892081691 x 2078511291 x 1112514837 x 296939037 x 15893
Negative: -1 x -143625041-7 x -20517863-23 x -6244567-161 x -892081-691 x -207851-1291 x -111251-4837 x -29693-9037 x -15893


How do I find the factor combinations of the number 143,625,041?

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 143,625,041, 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.

1 143,625,041
-1 -143,625,041

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 143,625,041.

Example:
1 x 143,625,041 = 143,625,041
and
-1 x -143,625,041 = 143,625,041
Notice both answers equal 143,625,041

With that explanation out of the way, let's continue. Next, we take the number 143,625,041 and divide it by 2:

143,625,041 ÷ 2 = 71,812,520.5

If the quotient is a whole number, then 2 and 71,812,520.5 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:

1 143,625,041
-1 -143,625,041

Now, we try dividing 143,625,041 by 3:

143,625,041 ÷ 3 = 47,875,013.6667

If the quotient is a whole number, then 3 and 47,875,013.6667 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:

1 143,625,041
-1 -143,625,041

Let's try dividing by 4:

143,625,041 ÷ 4 = 35,906,260.25

If the quotient is a whole number, then 4 and 35,906,260.25 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:

1 143,625,041
-1 143,625,041
Keep dividing by the next highest number until you cannot divide anymore.

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

17231616911,2914,8379,03715,89329,693111,251207,851892,0816,244,56720,517,863143,625,041
-1-7-23-161-691-1,291-4,837-9,037-15,893-29,693-111,251-207,851-892,081-6,244,567-20,517,863-143,625,041

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