Q: What are the factor combinations of the number 162,714,157?

 A:
Positive:   1 x 16271415717 x 957142119 x 856390329 x 5610833323 x 503759493 x 330049551 x 295307599 x 271643841 x 1934779367 x 1737110183 x 1597911381 x 14297
Negative: -1 x -162714157-17 x -9571421-19 x -8563903-29 x -5610833-323 x -503759-493 x -330049-551 x -295307-599 x -271643-841 x -193477-9367 x -17371-10183 x -15979-11381 x -14297


How do I find the factor combinations of the number 162,714,157?

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 162,714,157, 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.

1 162,714,157
-1 -162,714,157

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 162,714,157.

Example:
1 x 162,714,157 = 162,714,157
and
-1 x -162,714,157 = 162,714,157
Notice both answers equal 162,714,157

With that explanation out of the way, let's continue. Next, we take the number 162,714,157 and divide it by 2:

162,714,157 ÷ 2 = 81,357,078.5

If the quotient is a whole number, then 2 and 81,357,078.5 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:

1 162,714,157
-1 -162,714,157

Now, we try dividing 162,714,157 by 3:

162,714,157 ÷ 3 = 54,238,052.3333

If the quotient is a whole number, then 3 and 54,238,052.3333 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:

1 162,714,157
-1 -162,714,157

Let's try dividing by 4:

162,714,157 ÷ 4 = 40,678,539.25

If the quotient is a whole number, then 4 and 40,678,539.25 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:

1 162,714,157
-1 162,714,157
Keep dividing by the next highest number until you cannot divide anymore.

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

11719293234935515998419,36710,18311,38114,29715,97917,371193,477271,643295,307330,049503,7595,610,8338,563,9039,571,421162,714,157
-1-17-19-29-323-493-551-599-841-9,367-10,183-11,381-14,297-15,979-17,371-193,477-271,643-295,307-330,049-503,759-5,610,833-8,563,903-9,571,421-162,714,157

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