Q: What are the factor combinations of the number 162,751,075?

 A:
Positive:   1 x 1627510755 x 3255021525 x 651004353 x 3070775113 x 1440275265 x 614155565 x 2880551087 x 1497251325 x 1228312825 x 576115435 x 299455989 x 27175
Negative: -1 x -162751075-5 x -32550215-25 x -6510043-53 x -3070775-113 x -1440275-265 x -614155-565 x -288055-1087 x -149725-1325 x -122831-2825 x -57611-5435 x -29945-5989 x -27175


How do I find the factor combinations of the number 162,751,075?

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 162,751,075, 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.

1 162,751,075
-1 -162,751,075

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 162,751,075.

Example:
1 x 162,751,075 = 162,751,075
and
-1 x -162,751,075 = 162,751,075
Notice both answers equal 162,751,075

With that explanation out of the way, let's continue. Next, we take the number 162,751,075 and divide it by 2:

162,751,075 ÷ 2 = 81,375,537.5

If the quotient is a whole number, then 2 and 81,375,537.5 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:

1 162,751,075
-1 -162,751,075

Now, we try dividing 162,751,075 by 3:

162,751,075 ÷ 3 = 54,250,358.3333

If the quotient is a whole number, then 3 and 54,250,358.3333 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:

1 162,751,075
-1 -162,751,075

Let's try dividing by 4:

162,751,075 ÷ 4 = 40,687,768.75

If the quotient is a whole number, then 4 and 40,687,768.75 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:

1 162,751,075
-1 162,751,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531132655651,0871,3252,8255,4355,98927,17529,94557,611122,831149,725288,055614,1551,440,2753,070,7756,510,04332,550,215162,751,075
-1-5-25-53-113-265-565-1,087-1,325-2,825-5,435-5,989-27,175-29,945-57,611-122,831-149,725-288,055-614,155-1,440,275-3,070,775-6,510,043-32,550,215-162,751,075

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