Q: What are the factor combinations of the number 442,337?

 A:
Positive:   1 x 4423377 x 6319129 x 15253203 x 2179
Negative: -1 x -442337-7 x -63191-29 x -15253-203 x -2179


How do I find the factor combinations of the number 442,337?

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 442,337, 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.

1 442,337
-1 -442,337

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 442,337.

Example:
1 x 442,337 = 442,337
and
-1 x -442,337 = 442,337
Notice both answers equal 442,337

With that explanation out of the way, let's continue. Next, we take the number 442,337 and divide it by 2:

442,337 ÷ 2 = 221,168.5

If the quotient is a whole number, then 2 and 221,168.5 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:

1 442,337
-1 -442,337

Now, we try dividing 442,337 by 3:

442,337 ÷ 3 = 147,445.6667

If the quotient is a whole number, then 3 and 147,445.6667 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:

1 442,337
-1 -442,337

Let's try dividing by 4:

442,337 ÷ 4 = 110,584.25

If the quotient is a whole number, then 4 and 110,584.25 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:

1 442,337
-1 442,337
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032,17915,25363,191442,337
-1-7-29-203-2,179-15,253-63,191-442,337

More Examples

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