Q: What are the factor combinations of the number 162,647,045?

 A:
Positive:   1 x 1626470455 x 3252940911 x 1478609555 x 295721961 x 2666345305 x 533269671 x 2423953355 x 48479
Negative: -1 x -162647045-5 x -32529409-11 x -14786095-55 x -2957219-61 x -2666345-305 x -533269-671 x -242395-3355 x -48479


How do I find the factor combinations of the number 162,647,045?

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 162,647,045, 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.

1 162,647,045
-1 -162,647,045

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 162,647,045.

Example:
1 x 162,647,045 = 162,647,045
and
-1 x -162,647,045 = 162,647,045
Notice both answers equal 162,647,045

With that explanation out of the way, let's continue. Next, we take the number 162,647,045 and divide it by 2:

162,647,045 ÷ 2 = 81,323,522.5

If the quotient is a whole number, then 2 and 81,323,522.5 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:

1 162,647,045
-1 -162,647,045

Now, we try dividing 162,647,045 by 3:

162,647,045 ÷ 3 = 54,215,681.6667

If the quotient is a whole number, then 3 and 54,215,681.6667 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:

1 162,647,045
-1 -162,647,045

Let's try dividing by 4:

162,647,045 ÷ 4 = 40,661,761.25

If the quotient is a whole number, then 4 and 40,661,761.25 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:

1 162,647,045
-1 162,647,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35548,479242,395533,2692,666,3452,957,21914,786,09532,529,409162,647,045
-1-5-11-55-61-305-671-3,355-48,479-242,395-533,269-2,666,345-2,957,219-14,786,095-32,529,409-162,647,045

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