Q: What are the factor combinations of the number 775,242,145?

 A:
Positive:   1 x 7752421455 x 15504842941 x 18908345205 x 3781669
Negative: -1 x -775242145-5 x -155048429-41 x -18908345-205 x -3781669


How do I find the factor combinations of the number 775,242,145?

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 775,242,145, 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.

1 775,242,145
-1 -775,242,145

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 775,242,145.

Example:
1 x 775,242,145 = 775,242,145
and
-1 x -775,242,145 = 775,242,145
Notice both answers equal 775,242,145

With that explanation out of the way, let's continue. Next, we take the number 775,242,145 and divide it by 2:

775,242,145 ÷ 2 = 387,621,072.5

If the quotient is a whole number, then 2 and 387,621,072.5 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:

1 775,242,145
-1 -775,242,145

Now, we try dividing 775,242,145 by 3:

775,242,145 ÷ 3 = 258,414,048.3333

If the quotient is a whole number, then 3 and 258,414,048.3333 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:

1 775,242,145
-1 -775,242,145

Let's try dividing by 4:

775,242,145 ÷ 4 = 193,810,536.25

If the quotient is a whole number, then 4 and 193,810,536.25 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:

1 775,242,145
-1 775,242,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15412053,781,66918,908,345155,048,429775,242,145
-1-5-41-205-3,781,669-18,908,345-155,048,429-775,242,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 775,242,145:


Ask a Question