Q: What are the factor combinations of the number 959,975?

 A:
Positive:   1 x 9599755 x 19199519 x 5052525 x 3839943 x 2232547 x 2042595 x 10105215 x 4465235 x 4085475 x 2021817 x 1175893 x 1075
Negative: -1 x -959975-5 x -191995-19 x -50525-25 x -38399-43 x -22325-47 x -20425-95 x -10105-215 x -4465-235 x -4085-475 x -2021-817 x -1175-893 x -1075


How do I find the factor combinations of the number 959,975?

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 959,975, 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.

1 959,975
-1 -959,975

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 959,975.

Example:
1 x 959,975 = 959,975
and
-1 x -959,975 = 959,975
Notice both answers equal 959,975

With that explanation out of the way, let's continue. Next, we take the number 959,975 and divide it by 2:

959,975 ÷ 2 = 479,987.5

If the quotient is a whole number, then 2 and 479,987.5 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:

1 959,975
-1 -959,975

Now, we try dividing 959,975 by 3:

959,975 ÷ 3 = 319,991.6667

If the quotient is a whole number, then 3 and 319,991.6667 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:

1 959,975
-1 -959,975

Let's try dividing by 4:

959,975 ÷ 4 = 239,993.75

If the quotient is a whole number, then 4 and 239,993.75 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:

1 959,975
-1 959,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1519254347952152354758178931,0751,1752,0214,0854,46510,10520,42522,32538,39950,525191,995959,975
-1-5-19-25-43-47-95-215-235-475-817-893-1,075-1,175-2,021-4,085-4,465-10,105-20,425-22,325-38,399-50,525-191,995-959,975

More Examples

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