Q: What are the factor combinations of the number 162,767,411?

 A:
Positive:   1 x 162767411109 x 1493279
Negative: -1 x -162767411-109 x -1493279


How do I find the factor combinations of the number 162,767,411?

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 162,767,411, 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.

1 162,767,411
-1 -162,767,411

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 162,767,411.

Example:
1 x 162,767,411 = 162,767,411
and
-1 x -162,767,411 = 162,767,411
Notice both answers equal 162,767,411

With that explanation out of the way, let's continue. Next, we take the number 162,767,411 and divide it by 2:

162,767,411 ÷ 2 = 81,383,705.5

If the quotient is a whole number, then 2 and 81,383,705.5 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:

1 162,767,411
-1 -162,767,411

Now, we try dividing 162,767,411 by 3:

162,767,411 ÷ 3 = 54,255,803.6667

If the quotient is a whole number, then 3 and 54,255,803.6667 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:

1 162,767,411
-1 -162,767,411

Let's try dividing by 4:

162,767,411 ÷ 4 = 40,691,852.75

If the quotient is a whole number, then 4 and 40,691,852.75 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:

1 162,767,411
-1 162,767,411
Keep dividing by the next highest number until you cannot divide anymore.

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

11091,493,279162,767,411
-1-109-1,493,279-162,767,411

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 162,767,411:


Ask a Question