Q: What are the factor combinations of the number 60,767,311?

 A:
Positive:   1 x 6076731111 x 552430123 x 2642057181 x 335731253 x 2401871327 x 457931991 x 305214163 x 14597
Negative: -1 x -60767311-11 x -5524301-23 x -2642057-181 x -335731-253 x -240187-1327 x -45793-1991 x -30521-4163 x -14597


How do I find the factor combinations of the number 60,767,311?

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 60,767,311, 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 60,767,311
-1 -60,767,311

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 60,767,311.

Example:
1 x 60,767,311 = 60,767,311
and
-1 x -60,767,311 = 60,767,311
Notice both answers equal 60,767,311

With that explanation out of the way, let's continue. Next, we take the number 60,767,311 and divide it by 2:

60,767,311 ÷ 2 = 30,383,655.5

If the quotient is a whole number, then 2 and 30,383,655.5 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 60,767,311
-1 -60,767,311

Now, we try dividing 60,767,311 by 3:

60,767,311 ÷ 3 = 20,255,770.3333

If the quotient is a whole number, then 3 and 20,255,770.3333 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 60,767,311
-1 -60,767,311

Let's try dividing by 4:

60,767,311 ÷ 4 = 15,191,827.75

If the quotient is a whole number, then 4 and 15,191,827.75 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 60,767,311
-1 60,767,311
Keep dividing by the next highest number until you cannot divide anymore.

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

111231812531,3271,9914,16314,59730,52145,793240,187335,7312,642,0575,524,30160,767,311
-1-11-23-181-253-1,327-1,991-4,163-14,597-30,521-45,793-240,187-335,731-2,642,057-5,524,301-60,767,311

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 60,767,311:


Ask a Question