Q: What are the factor combinations of the number 20,416,501?

 A:
Positive:   1 x 204165017 x 291664353 x 385217113 x 180677371 x 55031487 x 41923791 x 258113409 x 5989
Negative: -1 x -20416501-7 x -2916643-53 x -385217-113 x -180677-371 x -55031-487 x -41923-791 x -25811-3409 x -5989


How do I find the factor combinations of the number 20,416,501?

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 20,416,501, 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 20,416,501
-1 -20,416,501

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 20,416,501.

Example:
1 x 20,416,501 = 20,416,501
and
-1 x -20,416,501 = 20,416,501
Notice both answers equal 20,416,501

With that explanation out of the way, let's continue. Next, we take the number 20,416,501 and divide it by 2:

20,416,501 ÷ 2 = 10,208,250.5

If the quotient is a whole number, then 2 and 10,208,250.5 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 20,416,501
-1 -20,416,501

Now, we try dividing 20,416,501 by 3:

20,416,501 ÷ 3 = 6,805,500.3333

If the quotient is a whole number, then 3 and 6,805,500.3333 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 20,416,501
-1 -20,416,501

Let's try dividing by 4:

20,416,501 ÷ 4 = 5,104,125.25

If the quotient is a whole number, then 4 and 5,104,125.25 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 20,416,501
-1 20,416,501
Keep dividing by the next highest number until you cannot divide anymore.

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

17531133714877913,4095,98925,81141,92355,031180,677385,2172,916,64320,416,501
-1-7-53-113-371-487-791-3,409-5,989-25,811-41,923-55,031-180,677-385,217-2,916,643-20,416,501

More Examples

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