Q: What are the factor combinations of the number 164,436,131?

 A:
Positive:   1 x 16443613123 x 7149397113 x 1455187151 x 1088981419 x 3924492599 x 632693473 x 473479637 x 17063
Negative: -1 x -164436131-23 x -7149397-113 x -1455187-151 x -1088981-419 x -392449-2599 x -63269-3473 x -47347-9637 x -17063


How do I find the factor combinations of the number 164,436,131?

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 164,436,131, 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.

1 164,436,131
-1 -164,436,131

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 164,436,131.

Example:
1 x 164,436,131 = 164,436,131
and
-1 x -164,436,131 = 164,436,131
Notice both answers equal 164,436,131

With that explanation out of the way, let's continue. Next, we take the number 164,436,131 and divide it by 2:

164,436,131 ÷ 2 = 82,218,065.5

If the quotient is a whole number, then 2 and 82,218,065.5 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:

1 164,436,131
-1 -164,436,131

Now, we try dividing 164,436,131 by 3:

164,436,131 ÷ 3 = 54,812,043.6667

If the quotient is a whole number, then 3 and 54,812,043.6667 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:

1 164,436,131
-1 -164,436,131

Let's try dividing by 4:

164,436,131 ÷ 4 = 41,109,032.75

If the quotient is a whole number, then 4 and 41,109,032.75 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:

1 164,436,131
-1 164,436,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1231131514192,5993,4739,63717,06347,34763,269392,4491,088,9811,455,1877,149,397164,436,131
-1-23-113-151-419-2,599-3,473-9,637-17,063-47,347-63,269-392,449-1,088,981-1,455,187-7,149,397-164,436,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 164,436,131:


Ask a Question