Q: What are the factor combinations of the number 107,977,063?

 A:
Positive:   1 x 10797706329 x 372334737 x 2918299103 x 1048321977 x 1105191073 x 1006312987 x 361493811 x 28333
Negative: -1 x -107977063-29 x -3723347-37 x -2918299-103 x -1048321-977 x -110519-1073 x -100631-2987 x -36149-3811 x -28333


How do I find the factor combinations of the number 107,977,063?

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 107,977,063, 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.

1 107,977,063
-1 -107,977,063

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 107,977,063.

Example:
1 x 107,977,063 = 107,977,063
and
-1 x -107,977,063 = 107,977,063
Notice both answers equal 107,977,063

With that explanation out of the way, let's continue. Next, we take the number 107,977,063 and divide it by 2:

107,977,063 ÷ 2 = 53,988,531.5

If the quotient is a whole number, then 2 and 53,988,531.5 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:

1 107,977,063
-1 -107,977,063

Now, we try dividing 107,977,063 by 3:

107,977,063 ÷ 3 = 35,992,354.3333

If the quotient is a whole number, then 3 and 35,992,354.3333 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:

1 107,977,063
-1 -107,977,063

Let's try dividing by 4:

107,977,063 ÷ 4 = 26,994,265.75

If the quotient is a whole number, then 4 and 26,994,265.75 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:

1 107,977,063
-1 107,977,063
Keep dividing by the next highest number until you cannot divide anymore.

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

129371039771,0732,9873,81128,33336,149100,631110,5191,048,3212,918,2993,723,347107,977,063
-1-29-37-103-977-1,073-2,987-3,811-28,333-36,149-100,631-110,519-1,048,321-2,918,299-3,723,347-107,977,063

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