Q: What are the factor combinations of the number 764,501,011?

 A:
Positive:   1 x 76450101189 x 8589899127 x 6019693239 x 3198749283 x 270141711303 x 6763721271 x 3594125187 x 30353
Negative: -1 x -764501011-89 x -8589899-127 x -6019693-239 x -3198749-283 x -2701417-11303 x -67637-21271 x -35941-25187 x -30353


How do I find the factor combinations of the number 764,501,011?

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 764,501,011, 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.

1 764,501,011
-1 -764,501,011

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 764,501,011.

Example:
1 x 764,501,011 = 764,501,011
and
-1 x -764,501,011 = 764,501,011
Notice both answers equal 764,501,011

With that explanation out of the way, let's continue. Next, we take the number 764,501,011 and divide it by 2:

764,501,011 ÷ 2 = 382,250,505.5

If the quotient is a whole number, then 2 and 382,250,505.5 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:

1 764,501,011
-1 -764,501,011

Now, we try dividing 764,501,011 by 3:

764,501,011 ÷ 3 = 254,833,670.3333

If the quotient is a whole number, then 3 and 254,833,670.3333 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:

1 764,501,011
-1 -764,501,011

Let's try dividing by 4:

764,501,011 ÷ 4 = 191,125,252.75

If the quotient is a whole number, then 4 and 191,125,252.75 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:

1 764,501,011
-1 764,501,011
Keep dividing by the next highest number until you cannot divide anymore.

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

18912723928311,30321,27125,18730,35335,94167,6372,701,4173,198,7496,019,6938,589,899764,501,011
-1-89-127-239-283-11,303-21,271-25,187-30,353-35,941-67,637-2,701,417-3,198,749-6,019,693-8,589,899-764,501,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 764,501,011:


Ask a Question