Q: What are the factor combinations of the number 20,014,247?

 A:
Positive:   1 x 2001424711 x 1819477121 x 1654071331 x 150371367 x 14641
Negative: -1 x -20014247-11 x -1819477-121 x -165407-1331 x -15037-1367 x -14641


How do I find the factor combinations of the number 20,014,247?

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 20,014,247, 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 20,014,247
-1 -20,014,247

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 20,014,247.

Example:
1 x 20,014,247 = 20,014,247
and
-1 x -20,014,247 = 20,014,247
Notice both answers equal 20,014,247

With that explanation out of the way, let's continue. Next, we take the number 20,014,247 and divide it by 2:

20,014,247 ÷ 2 = 10,007,123.5

If the quotient is a whole number, then 2 and 10,007,123.5 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 20,014,247
-1 -20,014,247

Now, we try dividing 20,014,247 by 3:

20,014,247 ÷ 3 = 6,671,415.6667

If the quotient is a whole number, then 3 and 6,671,415.6667 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 20,014,247
-1 -20,014,247

Let's try dividing by 4:

20,014,247 ÷ 4 = 5,003,561.75

If the quotient is a whole number, then 4 and 5,003,561.75 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 20,014,247
-1 20,014,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1111211,3311,36714,64115,037165,4071,819,47720,014,247
-1-11-121-1,331-1,367-14,641-15,037-165,407-1,819,477-20,014,247

More Examples

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