Q: What are the factor combinations of the number 100,770,371?

 A:
Positive:   1 x 10077037113 x 775156743 x 234349771 x 1419301559 x 180269923 x 1091772539 x 396893053 x 33007
Negative: -1 x -100770371-13 x -7751567-43 x -2343497-71 x -1419301-559 x -180269-923 x -109177-2539 x -39689-3053 x -33007


How do I find the factor combinations of the number 100,770,371?

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 100,770,371, 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.

1 100,770,371
-1 -100,770,371

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 100,770,371.

Example:
1 x 100,770,371 = 100,770,371
and
-1 x -100,770,371 = 100,770,371
Notice both answers equal 100,770,371

With that explanation out of the way, let's continue. Next, we take the number 100,770,371 and divide it by 2:

100,770,371 ÷ 2 = 50,385,185.5

If the quotient is a whole number, then 2 and 50,385,185.5 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:

1 100,770,371
-1 -100,770,371

Now, we try dividing 100,770,371 by 3:

100,770,371 ÷ 3 = 33,590,123.6667

If the quotient is a whole number, then 3 and 33,590,123.6667 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:

1 100,770,371
-1 -100,770,371

Let's try dividing by 4:

100,770,371 ÷ 4 = 25,192,592.75

If the quotient is a whole number, then 4 and 25,192,592.75 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:

1 100,770,371
-1 100,770,371
Keep dividing by the next highest number until you cannot divide anymore.

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

11343715599232,5393,05333,00739,689109,177180,2691,419,3012,343,4977,751,567100,770,371
-1-13-43-71-559-923-2,539-3,053-33,007-39,689-109,177-180,269-1,419,301-2,343,497-7,751,567-100,770,371

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 100,770,371:


Ask a Question