Q: What are the factor combinations of the number 159,775?

 A:
Positive:   1 x 1597755 x 319557 x 2282511 x 1452525 x 639135 x 456555 x 290577 x 207583 x 1925175 x 913275 x 581385 x 415
Negative: -1 x -159775-5 x -31955-7 x -22825-11 x -14525-25 x -6391-35 x -4565-55 x -2905-77 x -2075-83 x -1925-175 x -913-275 x -581-385 x -415


How do I find the factor combinations of the number 159,775?

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 159,775, 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.

1 159,775
-1 -159,775

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 159,775.

Example:
1 x 159,775 = 159,775
and
-1 x -159,775 = 159,775
Notice both answers equal 159,775

With that explanation out of the way, let's continue. Next, we take the number 159,775 and divide it by 2:

159,775 ÷ 2 = 79,887.5

If the quotient is a whole number, then 2 and 79,887.5 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:

1 159,775
-1 -159,775

Now, we try dividing 159,775 by 3:

159,775 ÷ 3 = 53,258.3333

If the quotient is a whole number, then 3 and 53,258.3333 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:

1 159,775
-1 -159,775

Let's try dividing by 4:

159,775 ÷ 4 = 39,943.75

If the quotient is a whole number, then 4 and 39,943.75 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:

1 159,775
-1 159,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1571125355577831752753854155819131,9252,0752,9054,5656,39114,52522,82531,955159,775
-1-5-7-11-25-35-55-77-83-175-275-385-415-581-913-1,925-2,075-2,905-4,565-6,391-14,525-22,825-31,955-159,775

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