Q: What are the factor combinations of the number 427,975?

 A:
Positive:   1 x 4279755 x 8559517 x 2517519 x 2252525 x 1711953 x 807585 x 503595 x 4505265 x 1615323 x 1325425 x 1007475 x 901
Negative: -1 x -427975-5 x -85595-17 x -25175-19 x -22525-25 x -17119-53 x -8075-85 x -5035-95 x -4505-265 x -1615-323 x -1325-425 x -1007-475 x -901


How do I find the factor combinations of the number 427,975?

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 427,975, 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.

1 427,975
-1 -427,975

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 427,975.

Example:
1 x 427,975 = 427,975
and
-1 x -427,975 = 427,975
Notice both answers equal 427,975

With that explanation out of the way, let's continue. Next, we take the number 427,975 and divide it by 2:

427,975 ÷ 2 = 213,987.5

If the quotient is a whole number, then 2 and 213,987.5 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:

1 427,975
-1 -427,975

Now, we try dividing 427,975 by 3:

427,975 ÷ 3 = 142,658.3333

If the quotient is a whole number, then 3 and 142,658.3333 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:

1 427,975
-1 -427,975

Let's try dividing by 4:

427,975 ÷ 4 = 106,993.75

If the quotient is a whole number, then 4 and 106,993.75 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:

1 427,975
-1 427,975
Keep dividing by the next highest number until you cannot divide anymore.

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

151719255385952653234254759011,0071,3251,6154,5055,0358,07517,11922,52525,17585,595427,975
-1-5-17-19-25-53-85-95-265-323-425-475-901-1,007-1,325-1,615-4,505-5,035-8,075-17,119-22,525-25,175-85,595-427,975

More Examples

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