Q: What are the factor combinations of the number 167,213,639?

 A:
Positive:   1 x 16721363947 x 3557737
Negative: -1 x -167213639-47 x -3557737


How do I find the factor combinations of the number 167,213,639?

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 167,213,639, 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.

1 167,213,639
-1 -167,213,639

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 167,213,639.

Example:
1 x 167,213,639 = 167,213,639
and
-1 x -167,213,639 = 167,213,639
Notice both answers equal 167,213,639

With that explanation out of the way, let's continue. Next, we take the number 167,213,639 and divide it by 2:

167,213,639 ÷ 2 = 83,606,819.5

If the quotient is a whole number, then 2 and 83,606,819.5 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:

1 167,213,639
-1 -167,213,639

Now, we try dividing 167,213,639 by 3:

167,213,639 ÷ 3 = 55,737,879.6667

If the quotient is a whole number, then 3 and 55,737,879.6667 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:

1 167,213,639
-1 -167,213,639

Let's try dividing by 4:

167,213,639 ÷ 4 = 41,803,409.75

If the quotient is a whole number, then 4 and 41,803,409.75 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:

1 167,213,639
-1 167,213,639
Keep dividing by the next highest number until you cannot divide anymore.

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

1473,557,737167,213,639
-1-47-3,557,737-167,213,639

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 167,213,639:


Ask a Question