Q: What are the factor combinations of the number 145,134,143?

 A:
Positive:   1 x 1451341437 x 2073344911 x 1319401377 x 1884859911 x 1593132069 x 701476377 x 2275910021 x 14483
Negative: -1 x -145134143-7 x -20733449-11 x -13194013-77 x -1884859-911 x -159313-2069 x -70147-6377 x -22759-10021 x -14483


How do I find the factor combinations of the number 145,134,143?

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 145,134,143, 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.

1 145,134,143
-1 -145,134,143

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 145,134,143.

Example:
1 x 145,134,143 = 145,134,143
and
-1 x -145,134,143 = 145,134,143
Notice both answers equal 145,134,143

With that explanation out of the way, let's continue. Next, we take the number 145,134,143 and divide it by 2:

145,134,143 ÷ 2 = 72,567,071.5

If the quotient is a whole number, then 2 and 72,567,071.5 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:

1 145,134,143
-1 -145,134,143

Now, we try dividing 145,134,143 by 3:

145,134,143 ÷ 3 = 48,378,047.6667

If the quotient is a whole number, then 3 and 48,378,047.6667 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:

1 145,134,143
-1 -145,134,143

Let's try dividing by 4:

145,134,143 ÷ 4 = 36,283,535.75

If the quotient is a whole number, then 4 and 36,283,535.75 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:

1 145,134,143
-1 145,134,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1711779112,0696,37710,02114,48322,75970,147159,3131,884,85913,194,01320,733,449145,134,143
-1-7-11-77-911-2,069-6,377-10,021-14,483-22,759-70,147-159,313-1,884,859-13,194,013-20,733,449-145,134,143

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