Q: What are the factor combinations of the number 166,230,631?

 A:
Positive:   1 x 1662306317 x 2374723353 x 3136427167 x 995393371 x 4480611169 x 1421992683 x 619578851 x 18781
Negative: -1 x -166230631-7 x -23747233-53 x -3136427-167 x -995393-371 x -448061-1169 x -142199-2683 x -61957-8851 x -18781


How do I find the factor combinations of the number 166,230,631?

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 166,230,631, 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.

1 166,230,631
-1 -166,230,631

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 166,230,631.

Example:
1 x 166,230,631 = 166,230,631
and
-1 x -166,230,631 = 166,230,631
Notice both answers equal 166,230,631

With that explanation out of the way, let's continue. Next, we take the number 166,230,631 and divide it by 2:

166,230,631 ÷ 2 = 83,115,315.5

If the quotient is a whole number, then 2 and 83,115,315.5 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:

1 166,230,631
-1 -166,230,631

Now, we try dividing 166,230,631 by 3:

166,230,631 ÷ 3 = 55,410,210.3333

If the quotient is a whole number, then 3 and 55,410,210.3333 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:

1 166,230,631
-1 -166,230,631

Let's try dividing by 4:

166,230,631 ÷ 4 = 41,557,657.75

If the quotient is a whole number, then 4 and 41,557,657.75 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:

1 166,230,631
-1 166,230,631
Keep dividing by the next highest number until you cannot divide anymore.

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

17531673711,1692,6838,85118,78161,957142,199448,061995,3933,136,42723,747,233166,230,631
-1-7-53-167-371-1,169-2,683-8,851-18,781-61,957-142,199-448,061-995,393-3,136,427-23,747,233-166,230,631

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 166,230,631:


Ask a Question