Q: What are the factor combinations of the number 167,050,933?

 A:
Positive:   1 x 1670509337 x 2386441929 x 576037741 x 4074413203 x 822911287 x 5820591189 x 1404978323 x 20071
Negative: -1 x -167050933-7 x -23864419-29 x -5760377-41 x -4074413-203 x -822911-287 x -582059-1189 x -140497-8323 x -20071


How do I find the factor combinations of the number 167,050,933?

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 167,050,933, 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.

1 167,050,933
-1 -167,050,933

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 167,050,933.

Example:
1 x 167,050,933 = 167,050,933
and
-1 x -167,050,933 = 167,050,933
Notice both answers equal 167,050,933

With that explanation out of the way, let's continue. Next, we take the number 167,050,933 and divide it by 2:

167,050,933 ÷ 2 = 83,525,466.5

If the quotient is a whole number, then 2 and 83,525,466.5 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:

1 167,050,933
-1 -167,050,933

Now, we try dividing 167,050,933 by 3:

167,050,933 ÷ 3 = 55,683,644.3333

If the quotient is a whole number, then 3 and 55,683,644.3333 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:

1 167,050,933
-1 -167,050,933

Let's try dividing by 4:

167,050,933 ÷ 4 = 41,762,733.25

If the quotient is a whole number, then 4 and 41,762,733.25 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:

1 167,050,933
-1 167,050,933
Keep dividing by the next highest number until you cannot divide anymore.

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

1729412032871,1898,32320,071140,497582,059822,9114,074,4135,760,37723,864,419167,050,933
-1-7-29-41-203-287-1,189-8,323-20,071-140,497-582,059-822,911-4,074,413-5,760,377-23,864,419-167,050,933

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