Q: What are the factor combinations of the number 1,808,005?

 A:
Positive:   1 x 18080055 x 36160129 x 6234537 x 48865145 x 12469185 x 9773337 x 53651073 x 1685
Negative: -1 x -1808005-5 x -361601-29 x -62345-37 x -48865-145 x -12469-185 x -9773-337 x -5365-1073 x -1685


How do I find the factor combinations of the number 1,808,005?

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 1,808,005, 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 1,808,005
-1 -1,808,005

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 1,808,005.

Example:
1 x 1,808,005 = 1,808,005
and
-1 x -1,808,005 = 1,808,005
Notice both answers equal 1,808,005

With that explanation out of the way, let's continue. Next, we take the number 1,808,005 and divide it by 2:

1,808,005 ÷ 2 = 904,002.5

If the quotient is a whole number, then 2 and 904,002.5 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 1,808,005
-1 -1,808,005

Now, we try dividing 1,808,005 by 3:

1,808,005 ÷ 3 = 602,668.3333

If the quotient is a whole number, then 3 and 602,668.3333 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 1,808,005
-1 -1,808,005

Let's try dividing by 4:

1,808,005 ÷ 4 = 452,001.25

If the quotient is a whole number, then 4 and 452,001.25 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 1,808,005
-1 1,808,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451853371,0731,6855,3659,77312,46948,86562,345361,6011,808,005
-1-5-29-37-145-185-337-1,073-1,685-5,365-9,773-12,469-48,865-62,345-361,601-1,808,005

More Examples

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