Q: What are the factor combinations of the number 162,605,047?

 A:
Positive:   1 x 16260504711 x 1478227737 x 439473167 x 242694189 x 1827023407 x 399521737 x 220631979 x 1660932479 x 655933293 x 493794489 x 362235963 x 27269
Negative: -1 x -162605047-11 x -14782277-37 x -4394731-67 x -2426941-89 x -1827023-407 x -399521-737 x -220631-979 x -166093-2479 x -65593-3293 x -49379-4489 x -36223-5963 x -27269


How do I find the factor combinations of the number 162,605,047?

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 162,605,047, 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.

1 162,605,047
-1 -162,605,047

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 162,605,047.

Example:
1 x 162,605,047 = 162,605,047
and
-1 x -162,605,047 = 162,605,047
Notice both answers equal 162,605,047

With that explanation out of the way, let's continue. Next, we take the number 162,605,047 and divide it by 2:

162,605,047 ÷ 2 = 81,302,523.5

If the quotient is a whole number, then 2 and 81,302,523.5 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:

1 162,605,047
-1 -162,605,047

Now, we try dividing 162,605,047 by 3:

162,605,047 ÷ 3 = 54,201,682.3333

If the quotient is a whole number, then 3 and 54,201,682.3333 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:

1 162,605,047
-1 -162,605,047

Let's try dividing by 4:

162,605,047 ÷ 4 = 40,651,261.75

If the quotient is a whole number, then 4 and 40,651,261.75 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:

1 162,605,047
-1 162,605,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1113767894077379792,4793,2934,4895,96327,26936,22349,37965,593166,093220,631399,5211,827,0232,426,9414,394,73114,782,277162,605,047
-1-11-37-67-89-407-737-979-2,479-3,293-4,489-5,963-27,269-36,223-49,379-65,593-166,093-220,631-399,521-1,827,023-2,426,941-4,394,731-14,782,277-162,605,047

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