Q: What are the factor combinations of the number 260,104,165?

 A:
Positive:   1 x 2601041655 x 5202083317 x 1530024585 x 3060049911 x 2855153359 x 774354555 x 5710315487 x 16795
Negative: -1 x -260104165-5 x -52020833-17 x -15300245-85 x -3060049-911 x -285515-3359 x -77435-4555 x -57103-15487 x -16795


How do I find the factor combinations of the number 260,104,165?

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 260,104,165, 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.

1 260,104,165
-1 -260,104,165

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 260,104,165.

Example:
1 x 260,104,165 = 260,104,165
and
-1 x -260,104,165 = 260,104,165
Notice both answers equal 260,104,165

With that explanation out of the way, let's continue. Next, we take the number 260,104,165 and divide it by 2:

260,104,165 ÷ 2 = 130,052,082.5

If the quotient is a whole number, then 2 and 130,052,082.5 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:

1 260,104,165
-1 -260,104,165

Now, we try dividing 260,104,165 by 3:

260,104,165 ÷ 3 = 86,701,388.3333

If the quotient is a whole number, then 3 and 86,701,388.3333 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:

1 260,104,165
-1 -260,104,165

Let's try dividing by 4:

260,104,165 ÷ 4 = 65,026,041.25

If the quotient is a whole number, then 4 and 65,026,041.25 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:

1 260,104,165
-1 260,104,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1517859113,3594,55515,48716,79557,10377,435285,5153,060,04915,300,24552,020,833260,104,165
-1-5-17-85-911-3,359-4,555-15,487-16,795-57,103-77,435-285,515-3,060,049-15,300,245-52,020,833-260,104,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 260,104,165:


Ask a Question