Q: What are the factor combinations of the number 20,490,505?

 A:
Positive:   1 x 204905055 x 40981017 x 292721535 x 585443
Negative: -1 x -20490505-5 x -4098101-7 x -2927215-35 x -585443


How do I find the factor combinations of the number 20,490,505?

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 20,490,505, 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 20,490,505
-1 -20,490,505

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 20,490,505.

Example:
1 x 20,490,505 = 20,490,505
and
-1 x -20,490,505 = 20,490,505
Notice both answers equal 20,490,505

With that explanation out of the way, let's continue. Next, we take the number 20,490,505 and divide it by 2:

20,490,505 ÷ 2 = 10,245,252.5

If the quotient is a whole number, then 2 and 10,245,252.5 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 20,490,505
-1 -20,490,505

Now, we try dividing 20,490,505 by 3:

20,490,505 ÷ 3 = 6,830,168.3333

If the quotient is a whole number, then 3 and 6,830,168.3333 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 20,490,505
-1 -20,490,505

Let's try dividing by 4:

20,490,505 ÷ 4 = 5,122,626.25

If the quotient is a whole number, then 4 and 5,122,626.25 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 20,490,505
-1 20,490,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15735585,4432,927,2154,098,10120,490,505
-1-5-7-35-585,443-2,927,215-4,098,101-20,490,505

More Examples

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