Q: What are the factor combinations of the number 162,336,125?

 A:
Positive:   1 x 1623361255 x 324672257 x 2319087525 x 649344535 x 4638175125 x 1298689175 x 927635875 x 185527
Negative: -1 x -162336125-5 x -32467225-7 x -23190875-25 x -6493445-35 x -4638175-125 x -1298689-175 x -927635-875 x -185527


How do I find the factor combinations of the number 162,336,125?

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 162,336,125, 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.

1 162,336,125
-1 -162,336,125

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 162,336,125.

Example:
1 x 162,336,125 = 162,336,125
and
-1 x -162,336,125 = 162,336,125
Notice both answers equal 162,336,125

With that explanation out of the way, let's continue. Next, we take the number 162,336,125 and divide it by 2:

162,336,125 ÷ 2 = 81,168,062.5

If the quotient is a whole number, then 2 and 81,168,062.5 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:

1 162,336,125
-1 -162,336,125

Now, we try dividing 162,336,125 by 3:

162,336,125 ÷ 3 = 54,112,041.6667

If the quotient is a whole number, then 3 and 54,112,041.6667 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:

1 162,336,125
-1 -162,336,125

Let's try dividing by 4:

162,336,125 ÷ 4 = 40,584,031.25

If the quotient is a whole number, then 4 and 40,584,031.25 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:

1 162,336,125
-1 162,336,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875185,527927,6351,298,6894,638,1756,493,44523,190,87532,467,225162,336,125
-1-5-7-25-35-125-175-875-185,527-927,635-1,298,689-4,638,175-6,493,445-23,190,875-32,467,225-162,336,125

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