Q: What are the factor combinations of the number 103,240,015?

 A:
Positive:   1 x 1032400155 x 2064800319 x 543368595 x 1086737293 x 3523551465 x 704713709 x 278355567 x 18545
Negative: -1 x -103240015-5 x -20648003-19 x -5433685-95 x -1086737-293 x -352355-1465 x -70471-3709 x -27835-5567 x -18545


How do I find the factor combinations of the number 103,240,015?

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 103,240,015, 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.

1 103,240,015
-1 -103,240,015

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 103,240,015.

Example:
1 x 103,240,015 = 103,240,015
and
-1 x -103,240,015 = 103,240,015
Notice both answers equal 103,240,015

With that explanation out of the way, let's continue. Next, we take the number 103,240,015 and divide it by 2:

103,240,015 ÷ 2 = 51,620,007.5

If the quotient is a whole number, then 2 and 51,620,007.5 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:

1 103,240,015
-1 -103,240,015

Now, we try dividing 103,240,015 by 3:

103,240,015 ÷ 3 = 34,413,338.3333

If the quotient is a whole number, then 3 and 34,413,338.3333 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:

1 103,240,015
-1 -103,240,015

Let's try dividing by 4:

103,240,015 ÷ 4 = 25,810,003.75

If the quotient is a whole number, then 4 and 25,810,003.75 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:

1 103,240,015
-1 103,240,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952931,4653,7095,56718,54527,83570,471352,3551,086,7375,433,68520,648,003103,240,015
-1-5-19-95-293-1,465-3,709-5,567-18,545-27,835-70,471-352,355-1,086,737-5,433,685-20,648,003-103,240,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 103,240,015:


Ask a Question