Q: What are the factor combinations of the number 60,848,249?

 A:
Positive:   1 x 608482497 x 869260711 x 553165949 x 124180177 x 79023779 x 770231539 x 112891553 x 110033869 x 700211429 x 425813871 x 157196083 x 10003
Negative: -1 x -60848249-7 x -8692607-11 x -5531659-49 x -1241801-77 x -790237-79 x -770231-539 x -112891-553 x -110033-869 x -70021-1429 x -42581-3871 x -15719-6083 x -10003


How do I find the factor combinations of the number 60,848,249?

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 60,848,249, 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 60,848,249
-1 -60,848,249

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 60,848,249.

Example:
1 x 60,848,249 = 60,848,249
and
-1 x -60,848,249 = 60,848,249
Notice both answers equal 60,848,249

With that explanation out of the way, let's continue. Next, we take the number 60,848,249 and divide it by 2:

60,848,249 ÷ 2 = 30,424,124.5

If the quotient is a whole number, then 2 and 30,424,124.5 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 60,848,249
-1 -60,848,249

Now, we try dividing 60,848,249 by 3:

60,848,249 ÷ 3 = 20,282,749.6667

If the quotient is a whole number, then 3 and 20,282,749.6667 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 60,848,249
-1 -60,848,249

Let's try dividing by 4:

60,848,249 ÷ 4 = 15,212,062.25

If the quotient is a whole number, then 4 and 15,212,062.25 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 60,848,249
-1 60,848,249
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977795395538691,4293,8716,08310,00315,71942,58170,021110,033112,891770,231790,2371,241,8015,531,6598,692,60760,848,249
-1-7-11-49-77-79-539-553-869-1,429-3,871-6,083-10,003-15,719-42,581-70,021-110,033-112,891-770,231-790,237-1,241,801-5,531,659-8,692,607-60,848,249

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 60,848,249:


Ask a Question