Q: What are the factor combinations of the number 152,075?

 A:
Positive:   1 x 1520755 x 304157 x 2172511 x 1382525 x 608335 x 434555 x 276577 x 197579 x 1925175 x 869275 x 553385 x 395
Negative: -1 x -152075-5 x -30415-7 x -21725-11 x -13825-25 x -6083-35 x -4345-55 x -2765-77 x -1975-79 x -1925-175 x -869-275 x -553-385 x -395


How do I find the factor combinations of the number 152,075?

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 152,075, 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.

1 152,075
-1 -152,075

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 152,075.

Example:
1 x 152,075 = 152,075
and
-1 x -152,075 = 152,075
Notice both answers equal 152,075

With that explanation out of the way, let's continue. Next, we take the number 152,075 and divide it by 2:

152,075 ÷ 2 = 76,037.5

If the quotient is a whole number, then 2 and 76,037.5 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:

1 152,075
-1 -152,075

Now, we try dividing 152,075 by 3:

152,075 ÷ 3 = 50,691.6667

If the quotient is a whole number, then 3 and 50,691.6667 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:

1 152,075
-1 -152,075

Let's try dividing by 4:

152,075 ÷ 4 = 38,018.75

If the quotient is a whole number, then 4 and 38,018.75 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:

1 152,075
-1 152,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1571125355577791752753853955538691,9251,9752,7654,3456,08313,82521,72530,415152,075
-1-5-7-11-25-35-55-77-79-175-275-385-395-553-869-1,925-1,975-2,765-4,345-6,083-13,825-21,725-30,415-152,075

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