Q: What are the factor combinations of the number 103,989,985?

 A:
Positive:   1 x 1039899855 x 2079799711 x 945363555 x 1890727587 x 1771552935 x 354313221 x 322856457 x 16105
Negative: -1 x -103989985-5 x -20797997-11 x -9453635-55 x -1890727-587 x -177155-2935 x -35431-3221 x -32285-6457 x -16105


How do I find the factor combinations of the number 103,989,985?

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 103,989,985, 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.

1 103,989,985
-1 -103,989,985

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 103,989,985.

Example:
1 x 103,989,985 = 103,989,985
and
-1 x -103,989,985 = 103,989,985
Notice both answers equal 103,989,985

With that explanation out of the way, let's continue. Next, we take the number 103,989,985 and divide it by 2:

103,989,985 ÷ 2 = 51,994,992.5

If the quotient is a whole number, then 2 and 51,994,992.5 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:

1 103,989,985
-1 -103,989,985

Now, we try dividing 103,989,985 by 3:

103,989,985 ÷ 3 = 34,663,328.3333

If the quotient is a whole number, then 3 and 34,663,328.3333 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:

1 103,989,985
-1 -103,989,985

Let's try dividing by 4:

103,989,985 ÷ 4 = 25,997,496.25

If the quotient is a whole number, then 4 and 25,997,496.25 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:

1 103,989,985
-1 103,989,985
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555872,9353,2216,45716,10532,28535,431177,1551,890,7279,453,63520,797,997103,989,985
-1-5-11-55-587-2,935-3,221-6,457-16,105-32,285-35,431-177,155-1,890,727-9,453,635-20,797,997-103,989,985

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 103,989,985:


Ask a Question