Q: What are the factor combinations of the number 850,233,157?

 A:
Positive:   1 x 85023315723 x 36966659577 x 147354113271 x 64067
Negative: -1 x -850233157-23 x -36966659-577 x -1473541-13271 x -64067


How do I find the factor combinations of the number 850,233,157?

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 850,233,157, 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.

1 850,233,157
-1 -850,233,157

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 850,233,157.

Example:
1 x 850,233,157 = 850,233,157
and
-1 x -850,233,157 = 850,233,157
Notice both answers equal 850,233,157

With that explanation out of the way, let's continue. Next, we take the number 850,233,157 and divide it by 2:

850,233,157 ÷ 2 = 425,116,578.5

If the quotient is a whole number, then 2 and 425,116,578.5 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:

1 850,233,157
-1 -850,233,157

Now, we try dividing 850,233,157 by 3:

850,233,157 ÷ 3 = 283,411,052.3333

If the quotient is a whole number, then 3 and 283,411,052.3333 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:

1 850,233,157
-1 -850,233,157

Let's try dividing by 4:

850,233,157 ÷ 4 = 212,558,289.25

If the quotient is a whole number, then 4 and 212,558,289.25 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:

1 850,233,157
-1 850,233,157
Keep dividing by the next highest number until you cannot divide anymore.

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

12357713,27164,0671,473,54136,966,659850,233,157
-1-23-577-13,271-64,067-1,473,541-36,966,659-850,233,157

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 850,233,157:


Ask a Question