Q: What are the factor combinations of the number 20,420,435?

 A:
Positive:   1 x 204204355 x 40840877 x 291720523 x 88784535 x 583441115 x 177569161 x 126835805 x 25367
Negative: -1 x -20420435-5 x -4084087-7 x -2917205-23 x -887845-35 x -583441-115 x -177569-161 x -126835-805 x -25367


How do I find the factor combinations of the number 20,420,435?

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 20,420,435, 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 20,420,435
-1 -20,420,435

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 20,420,435.

Example:
1 x 20,420,435 = 20,420,435
and
-1 x -20,420,435 = 20,420,435
Notice both answers equal 20,420,435

With that explanation out of the way, let's continue. Next, we take the number 20,420,435 and divide it by 2:

20,420,435 ÷ 2 = 10,210,217.5

If the quotient is a whole number, then 2 and 10,210,217.5 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 20,420,435
-1 -20,420,435

Now, we try dividing 20,420,435 by 3:

20,420,435 ÷ 3 = 6,806,811.6667

If the quotient is a whole number, then 3 and 6,806,811.6667 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 20,420,435
-1 -20,420,435

Let's try dividing by 4:

20,420,435 ÷ 4 = 5,105,108.75

If the quotient is a whole number, then 4 and 5,105,108.75 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 20,420,435
-1 20,420,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180525,367126,835177,569583,441887,8452,917,2054,084,08720,420,435
-1-5-7-23-35-115-161-805-25,367-126,835-177,569-583,441-887,845-2,917,205-4,084,087-20,420,435

More Examples

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