Q: What are the factor combinations of the number 162,552,061?

 A:
Positive:   1 x 1625520617 x 2322172349 x 3317389523 x 3108073661 x 444016343 x 25627
Negative: -1 x -162552061-7 x -23221723-49 x -3317389-523 x -310807-3661 x -44401-6343 x -25627


How do I find the factor combinations of the number 162,552,061?

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 162,552,061, 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.

1 162,552,061
-1 -162,552,061

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 162,552,061.

Example:
1 x 162,552,061 = 162,552,061
and
-1 x -162,552,061 = 162,552,061
Notice both answers equal 162,552,061

With that explanation out of the way, let's continue. Next, we take the number 162,552,061 and divide it by 2:

162,552,061 ÷ 2 = 81,276,030.5

If the quotient is a whole number, then 2 and 81,276,030.5 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:

1 162,552,061
-1 -162,552,061

Now, we try dividing 162,552,061 by 3:

162,552,061 ÷ 3 = 54,184,020.3333

If the quotient is a whole number, then 3 and 54,184,020.3333 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:

1 162,552,061
-1 -162,552,061

Let's try dividing by 4:

162,552,061 ÷ 4 = 40,638,015.25

If the quotient is a whole number, then 4 and 40,638,015.25 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:

1 162,552,061
-1 162,552,061
Keep dividing by the next highest number until you cannot divide anymore.

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

17495233,6616,34325,62744,401310,8073,317,38923,221,723162,552,061
-1-7-49-523-3,661-6,343-25,627-44,401-310,807-3,317,389-23,221,723-162,552,061

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