Q: What are the factor combinations of the number 427,063?

 A:
Positive:   1 x 4270637 x 6100913 x 3285119 x 2247791 x 4693133 x 3211169 x 2527247 x 1729361 x 1183
Negative: -1 x -427063-7 x -61009-13 x -32851-19 x -22477-91 x -4693-133 x -3211-169 x -2527-247 x -1729-361 x -1183


How do I find the factor combinations of the number 427,063?

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 427,063, 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.

1 427,063
-1 -427,063

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 427,063.

Example:
1 x 427,063 = 427,063
and
-1 x -427,063 = 427,063
Notice both answers equal 427,063

With that explanation out of the way, let's continue. Next, we take the number 427,063 and divide it by 2:

427,063 ÷ 2 = 213,531.5

If the quotient is a whole number, then 2 and 213,531.5 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:

1 427,063
-1 -427,063

Now, we try dividing 427,063 by 3:

427,063 ÷ 3 = 142,354.3333

If the quotient is a whole number, then 3 and 142,354.3333 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:

1 427,063
-1 -427,063

Let's try dividing by 4:

427,063 ÷ 4 = 106,765.75

If the quotient is a whole number, then 4 and 106,765.75 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:

1 427,063
-1 427,063
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911331692473611,1831,7292,5273,2114,69322,47732,85161,009427,063
-1-7-13-19-91-133-169-247-361-1,183-1,729-2,527-3,211-4,693-22,477-32,851-61,009-427,063

More Examples

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