Q: What are the factor combinations of the number 20,085,247?

 A:
Positive:   1 x 200852477 x 286932113 x 154501949 x 40990391 x 220717637 x 31531
Negative: -1 x -20085247-7 x -2869321-13 x -1545019-49 x -409903-91 x -220717-637 x -31531


How do I find the factor combinations of the number 20,085,247?

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 20,085,247, 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 20,085,247
-1 -20,085,247

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 20,085,247.

Example:
1 x 20,085,247 = 20,085,247
and
-1 x -20,085,247 = 20,085,247
Notice both answers equal 20,085,247

With that explanation out of the way, let's continue. Next, we take the number 20,085,247 and divide it by 2:

20,085,247 ÷ 2 = 10,042,623.5

If the quotient is a whole number, then 2 and 10,042,623.5 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 20,085,247
-1 -20,085,247

Now, we try dividing 20,085,247 by 3:

20,085,247 ÷ 3 = 6,695,082.3333

If the quotient is a whole number, then 3 and 6,695,082.3333 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 20,085,247
-1 -20,085,247

Let's try dividing by 4:

20,085,247 ÷ 4 = 5,021,311.75

If the quotient is a whole number, then 4 and 5,021,311.75 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 20,085,247
-1 20,085,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1713499163731,531220,717409,9031,545,0192,869,32120,085,247
-1-7-13-49-91-637-31,531-220,717-409,903-1,545,019-2,869,321-20,085,247

More Examples

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