Q: What are the factor combinations of the number 162,543,053?

 A:
Positive:   1 x 16254305343 x 378007159 x 275496779 x 2057507811 x 2004232537 x 640693397 x 478494661 x 34873
Negative: -1 x -162543053-43 x -3780071-59 x -2754967-79 x -2057507-811 x -200423-2537 x -64069-3397 x -47849-4661 x -34873


How do I find the factor combinations of the number 162,543,053?

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 162,543,053, 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.

1 162,543,053
-1 -162,543,053

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 162,543,053.

Example:
1 x 162,543,053 = 162,543,053
and
-1 x -162,543,053 = 162,543,053
Notice both answers equal 162,543,053

With that explanation out of the way, let's continue. Next, we take the number 162,543,053 and divide it by 2:

162,543,053 ÷ 2 = 81,271,526.5

If the quotient is a whole number, then 2 and 81,271,526.5 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:

1 162,543,053
-1 -162,543,053

Now, we try dividing 162,543,053 by 3:

162,543,053 ÷ 3 = 54,181,017.6667

If the quotient is a whole number, then 3 and 54,181,017.6667 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:

1 162,543,053
-1 -162,543,053

Let's try dividing by 4:

162,543,053 ÷ 4 = 40,635,763.25

If the quotient is a whole number, then 4 and 40,635,763.25 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:

1 162,543,053
-1 162,543,053
Keep dividing by the next highest number until you cannot divide anymore.

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

14359798112,5373,3974,66134,87347,84964,069200,4232,057,5072,754,9673,780,071162,543,053
-1-43-59-79-811-2,537-3,397-4,661-34,873-47,849-64,069-200,423-2,057,507-2,754,967-3,780,071-162,543,053

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