Q: What are the factor combinations of the number 20,476,625?

 A:
Positive:   1 x 204766255 x 409532513 x 157512525 x 81906565 x 315025125 x 163813325 x 630051625 x 12601
Negative: -1 x -20476625-5 x -4095325-13 x -1575125-25 x -819065-65 x -315025-125 x -163813-325 x -63005-1625 x -12601


How do I find the factor combinations of the number 20,476,625?

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 20,476,625, 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 20,476,625
-1 -20,476,625

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 20,476,625.

Example:
1 x 20,476,625 = 20,476,625
and
-1 x -20,476,625 = 20,476,625
Notice both answers equal 20,476,625

With that explanation out of the way, let's continue. Next, we take the number 20,476,625 and divide it by 2:

20,476,625 ÷ 2 = 10,238,312.5

If the quotient is a whole number, then 2 and 10,238,312.5 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 20,476,625
-1 -20,476,625

Now, we try dividing 20,476,625 by 3:

20,476,625 ÷ 3 = 6,825,541.6667

If the quotient is a whole number, then 3 and 6,825,541.6667 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 20,476,625
-1 -20,476,625

Let's try dividing by 4:

20,476,625 ÷ 4 = 5,119,156.25

If the quotient is a whole number, then 4 and 5,119,156.25 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 20,476,625
-1 20,476,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,62512,60163,005163,813315,025819,0651,575,1254,095,32520,476,625
-1-5-13-25-65-125-325-1,625-12,601-63,005-163,813-315,025-819,065-1,575,125-4,095,325-20,476,625

More Examples

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