Q: What are the factor combinations of the number 116,024,041?

 A:
Positive:   1 x 1160240417 x 1657486329 x 400082931 x 3742711103 x 1126447179 x 648179203 x 571547217 x 534673721 x 160921899 x 1290591253 x 925972987 x 388433193 x 363375191 x 223515549 x 209096293 x 18437
Negative: -1 x -116024041-7 x -16574863-29 x -4000829-31 x -3742711-103 x -1126447-179 x -648179-203 x -571547-217 x -534673-721 x -160921-899 x -129059-1253 x -92597-2987 x -38843-3193 x -36337-5191 x -22351-5549 x -20909-6293 x -18437


How do I find the factor combinations of the number 116,024,041?

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 116,024,041, 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.

1 116,024,041
-1 -116,024,041

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 116,024,041.

Example:
1 x 116,024,041 = 116,024,041
and
-1 x -116,024,041 = 116,024,041
Notice both answers equal 116,024,041

With that explanation out of the way, let's continue. Next, we take the number 116,024,041 and divide it by 2:

116,024,041 ÷ 2 = 58,012,020.5

If the quotient is a whole number, then 2 and 58,012,020.5 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:

1 116,024,041
-1 -116,024,041

Now, we try dividing 116,024,041 by 3:

116,024,041 ÷ 3 = 38,674,680.3333

If the quotient is a whole number, then 3 and 38,674,680.3333 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:

1 116,024,041
-1 -116,024,041

Let's try dividing by 4:

116,024,041 ÷ 4 = 29,006,010.25

If the quotient is a whole number, then 4 and 29,006,010.25 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:

1 116,024,041
-1 116,024,041
Keep dividing by the next highest number until you cannot divide anymore.

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

1729311031792032177218991,2532,9873,1935,1915,5496,29318,43720,90922,35136,33738,84392,597129,059160,921534,673571,547648,1791,126,4473,742,7114,000,82916,574,863116,024,041
-1-7-29-31-103-179-203-217-721-899-1,253-2,987-3,193-5,191-5,549-6,293-18,437-20,909-22,351-36,337-38,843-92,597-129,059-160,921-534,673-571,547-648,179-1,126,447-3,742,711-4,000,829-16,574,863-116,024,041

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