Q: What are the factor combinations of the number 162,710,233?

 A:
Positive:   1 x 1627102337 x 2324431949 x 3320617103 x 1579711313 x 519841721 x 2256732191 x 742635047 x 3223910609 x 15337
Negative: -1 x -162710233-7 x -23244319-49 x -3320617-103 x -1579711-313 x -519841-721 x -225673-2191 x -74263-5047 x -32239-10609 x -15337


How do I find the factor combinations of the number 162,710,233?

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 162,710,233, 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.

1 162,710,233
-1 -162,710,233

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 162,710,233.

Example:
1 x 162,710,233 = 162,710,233
and
-1 x -162,710,233 = 162,710,233
Notice both answers equal 162,710,233

With that explanation out of the way, let's continue. Next, we take the number 162,710,233 and divide it by 2:

162,710,233 ÷ 2 = 81,355,116.5

If the quotient is a whole number, then 2 and 81,355,116.5 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:

1 162,710,233
-1 -162,710,233

Now, we try dividing 162,710,233 by 3:

162,710,233 ÷ 3 = 54,236,744.3333

If the quotient is a whole number, then 3 and 54,236,744.3333 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:

1 162,710,233
-1 -162,710,233

Let's try dividing by 4:

162,710,233 ÷ 4 = 40,677,558.25

If the quotient is a whole number, then 4 and 40,677,558.25 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:

1 162,710,233
-1 162,710,233
Keep dividing by the next highest number until you cannot divide anymore.

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

17491033137212,1915,04710,60915,33732,23974,263225,673519,8411,579,7113,320,61723,244,319162,710,233
-1-7-49-103-313-721-2,191-5,047-10,609-15,337-32,239-74,263-225,673-519,841-1,579,711-3,320,617-23,244,319-162,710,233

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