Q: What are the factor combinations of the number 439,565?

 A:
Positive:   1 x 4395655 x 879137 x 6279519 x 2313535 x 1255995 x 4627133 x 3305661 x 665
Negative: -1 x -439565-5 x -87913-7 x -62795-19 x -23135-35 x -12559-95 x -4627-133 x -3305-661 x -665


How do I find the factor combinations of the number 439,565?

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 439,565, 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.

1 439,565
-1 -439,565

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 439,565.

Example:
1 x 439,565 = 439,565
and
-1 x -439,565 = 439,565
Notice both answers equal 439,565

With that explanation out of the way, let's continue. Next, we take the number 439,565 and divide it by 2:

439,565 ÷ 2 = 219,782.5

If the quotient is a whole number, then 2 and 219,782.5 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:

1 439,565
-1 -439,565

Now, we try dividing 439,565 by 3:

439,565 ÷ 3 = 146,521.6667

If the quotient is a whole number, then 3 and 146,521.6667 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:

1 439,565
-1 -439,565

Let's try dividing by 4:

439,565 ÷ 4 = 109,891.25

If the quotient is a whole number, then 4 and 109,891.25 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:

1 439,565
-1 439,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951336616653,3054,62712,55923,13562,79587,913439,565
-1-5-7-19-35-95-133-661-665-3,305-4,627-12,559-23,135-62,795-87,913-439,565

More Examples

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