Q: What are the factor combinations of the number 141,403,031?

 A:
Positive:   1 x 1414030317 x 2020043311 x 1285482167 x 211049377 x 1836403469 x 301499737 x 1918635159 x 27409
Negative: -1 x -141403031-7 x -20200433-11 x -12854821-67 x -2110493-77 x -1836403-469 x -301499-737 x -191863-5159 x -27409


How do I find the factor combinations of the number 141,403,031?

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 141,403,031, 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.

1 141,403,031
-1 -141,403,031

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 141,403,031.

Example:
1 x 141,403,031 = 141,403,031
and
-1 x -141,403,031 = 141,403,031
Notice both answers equal 141,403,031

With that explanation out of the way, let's continue. Next, we take the number 141,403,031 and divide it by 2:

141,403,031 ÷ 2 = 70,701,515.5

If the quotient is a whole number, then 2 and 70,701,515.5 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:

1 141,403,031
-1 -141,403,031

Now, we try dividing 141,403,031 by 3:

141,403,031 ÷ 3 = 47,134,343.6667

If the quotient is a whole number, then 3 and 47,134,343.6667 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:

1 141,403,031
-1 -141,403,031

Let's try dividing by 4:

141,403,031 ÷ 4 = 35,350,757.75

If the quotient is a whole number, then 4 and 35,350,757.75 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:

1 141,403,031
-1 141,403,031
Keep dividing by the next highest number until you cannot divide anymore.

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

171167774697375,15927,409191,863301,4991,836,4032,110,49312,854,82120,200,433141,403,031
-1-7-11-67-77-469-737-5,159-27,409-191,863-301,499-1,836,403-2,110,493-12,854,821-20,200,433-141,403,031

More Examples

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