Q: What are the factor combinations of the number 437,255?

 A:
Positive:   1 x 4372555 x 874517 x 6246513 x 3363531 x 1410535 x 1249365 x 672791 x 4805155 x 2821217 x 2015403 x 1085455 x 961
Negative: -1 x -437255-5 x -87451-7 x -62465-13 x -33635-31 x -14105-35 x -12493-65 x -6727-91 x -4805-155 x -2821-217 x -2015-403 x -1085-455 x -961


How do I find the factor combinations of the number 437,255?

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 437,255, 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.

1 437,255
-1 -437,255

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 437,255.

Example:
1 x 437,255 = 437,255
and
-1 x -437,255 = 437,255
Notice both answers equal 437,255

With that explanation out of the way, let's continue. Next, we take the number 437,255 and divide it by 2:

437,255 ÷ 2 = 218,627.5

If the quotient is a whole number, then 2 and 218,627.5 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:

1 437,255
-1 -437,255

Now, we try dividing 437,255 by 3:

437,255 ÷ 3 = 145,751.6667

If the quotient is a whole number, then 3 and 145,751.6667 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:

1 437,255
-1 -437,255

Let's try dividing by 4:

437,255 ÷ 4 = 109,313.75

If the quotient is a whole number, then 4 and 109,313.75 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:

1 437,255
-1 437,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15713313565911552174034559611,0852,0152,8214,8056,72712,49314,10533,63562,46587,451437,255
-1-5-7-13-31-35-65-91-155-217-403-455-961-1,085-2,015-2,821-4,805-6,727-12,493-14,105-33,635-62,465-87,451-437,255

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