Q: What are the factor combinations of the number 110,390,945?

 A:
Positive:   1 x 1103909455 x 220781897 x 1577013517 x 649358535 x 315402785 x 1298717119 x 927655595 x 185531
Negative: -1 x -110390945-5 x -22078189-7 x -15770135-17 x -6493585-35 x -3154027-85 x -1298717-119 x -927655-595 x -185531


How do I find the factor combinations of the number 110,390,945?

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 110,390,945, 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.

1 110,390,945
-1 -110,390,945

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 110,390,945.

Example:
1 x 110,390,945 = 110,390,945
and
-1 x -110,390,945 = 110,390,945
Notice both answers equal 110,390,945

With that explanation out of the way, let's continue. Next, we take the number 110,390,945 and divide it by 2:

110,390,945 ÷ 2 = 55,195,472.5

If the quotient is a whole number, then 2 and 55,195,472.5 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:

1 110,390,945
-1 -110,390,945

Now, we try dividing 110,390,945 by 3:

110,390,945 ÷ 3 = 36,796,981.6667

If the quotient is a whole number, then 3 and 36,796,981.6667 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:

1 110,390,945
-1 -110,390,945

Let's try dividing by 4:

110,390,945 ÷ 4 = 27,597,736.25

If the quotient is a whole number, then 4 and 27,597,736.25 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:

1 110,390,945
-1 110,390,945
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595185,531927,6551,298,7173,154,0276,493,58515,770,13522,078,189110,390,945
-1-5-7-17-35-85-119-595-185,531-927,655-1,298,717-3,154,027-6,493,585-15,770,135-22,078,189-110,390,945

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 110,390,945:


Ask a Question