Q: What are the factor combinations of the number 103,960,969?

 A:
Positive:   1 x 1039609697 x 1485156729 x 358486171 x 1464239203 x 512123497 x 2091772059 x 504917213 x 14413
Negative: -1 x -103960969-7 x -14851567-29 x -3584861-71 x -1464239-203 x -512123-497 x -209177-2059 x -50491-7213 x -14413


How do I find the factor combinations of the number 103,960,969?

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 103,960,969, 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.

1 103,960,969
-1 -103,960,969

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 103,960,969.

Example:
1 x 103,960,969 = 103,960,969
and
-1 x -103,960,969 = 103,960,969
Notice both answers equal 103,960,969

With that explanation out of the way, let's continue. Next, we take the number 103,960,969 and divide it by 2:

103,960,969 ÷ 2 = 51,980,484.5

If the quotient is a whole number, then 2 and 51,980,484.5 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:

1 103,960,969
-1 -103,960,969

Now, we try dividing 103,960,969 by 3:

103,960,969 ÷ 3 = 34,653,656.3333

If the quotient is a whole number, then 3 and 34,653,656.3333 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:

1 103,960,969
-1 -103,960,969

Let's try dividing by 4:

103,960,969 ÷ 4 = 25,990,242.25

If the quotient is a whole number, then 4 and 25,990,242.25 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:

1 103,960,969
-1 103,960,969
Keep dividing by the next highest number until you cannot divide anymore.

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

1729712034972,0597,21314,41350,491209,177512,1231,464,2393,584,86114,851,567103,960,969
-1-7-29-71-203-497-2,059-7,213-14,413-50,491-209,177-512,123-1,464,239-3,584,861-14,851,567-103,960,969

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 103,960,969:


Ask a Question