Q: What are the factor combinations of the number 162,345,053?

 A:
Positive:   1 x 16234505313 x 1248808117 x 9549709221 x 734593353 x 4599012081 x 780134589 x 353776001 x 27053
Negative: -1 x -162345053-13 x -12488081-17 x -9549709-221 x -734593-353 x -459901-2081 x -78013-4589 x -35377-6001 x -27053


How do I find the factor combinations of the number 162,345,053?

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 162,345,053, 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.

1 162,345,053
-1 -162,345,053

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 162,345,053.

Example:
1 x 162,345,053 = 162,345,053
and
-1 x -162,345,053 = 162,345,053
Notice both answers equal 162,345,053

With that explanation out of the way, let's continue. Next, we take the number 162,345,053 and divide it by 2:

162,345,053 ÷ 2 = 81,172,526.5

If the quotient is a whole number, then 2 and 81,172,526.5 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:

1 162,345,053
-1 -162,345,053

Now, we try dividing 162,345,053 by 3:

162,345,053 ÷ 3 = 54,115,017.6667

If the quotient is a whole number, then 3 and 54,115,017.6667 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:

1 162,345,053
-1 -162,345,053

Let's try dividing by 4:

162,345,053 ÷ 4 = 40,586,263.25

If the quotient is a whole number, then 4 and 40,586,263.25 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:

1 162,345,053
-1 162,345,053
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213532,0814,5896,00127,05335,37778,013459,901734,5939,549,70912,488,081162,345,053
-1-13-17-221-353-2,081-4,589-6,001-27,053-35,377-78,013-459,901-734,593-9,549,709-12,488,081-162,345,053

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 162,345,053:


Ask a Question