Q: What are the factor combinations of the number 144,455,003?

 A:
Positive:   1 x 1444550037 x 2063642911 x 1313227329 x 498120777 x 1876039121 x 1193843203 x 711601319 x 452837847 x 1705492233 x 646913509 x 411675881 x 24563
Negative: -1 x -144455003-7 x -20636429-11 x -13132273-29 x -4981207-77 x -1876039-121 x -1193843-203 x -711601-319 x -452837-847 x -170549-2233 x -64691-3509 x -41167-5881 x -24563


How do I find the factor combinations of the number 144,455,003?

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 144,455,003, 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.

1 144,455,003
-1 -144,455,003

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 144,455,003.

Example:
1 x 144,455,003 = 144,455,003
and
-1 x -144,455,003 = 144,455,003
Notice both answers equal 144,455,003

With that explanation out of the way, let's continue. Next, we take the number 144,455,003 and divide it by 2:

144,455,003 ÷ 2 = 72,227,501.5

If the quotient is a whole number, then 2 and 72,227,501.5 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:

1 144,455,003
-1 -144,455,003

Now, we try dividing 144,455,003 by 3:

144,455,003 ÷ 3 = 48,151,667.6667

If the quotient is a whole number, then 3 and 48,151,667.6667 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:

1 144,455,003
-1 -144,455,003

Let's try dividing by 4:

144,455,003 ÷ 4 = 36,113,750.75

If the quotient is a whole number, then 4 and 36,113,750.75 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:

1 144,455,003
-1 144,455,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171129771212033198472,2333,5095,88124,56341,16764,691170,549452,837711,6011,193,8431,876,0394,981,20713,132,27320,636,429144,455,003
-1-7-11-29-77-121-203-319-847-2,233-3,509-5,881-24,563-41,167-64,691-170,549-452,837-711,601-1,193,843-1,876,039-4,981,207-13,132,273-20,636,429-144,455,003

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