Q: What are the factor combinations of the number 20,422,625?

 A:
Positive:   1 x 204226255 x 408452519 x 107487525 x 81690595 x 214975125 x 163381475 x 429952375 x 8599
Negative: -1 x -20422625-5 x -4084525-19 x -1074875-25 x -816905-95 x -214975-125 x -163381-475 x -42995-2375 x -8599


How do I find the factor combinations of the number 20,422,625?

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 20,422,625, 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 20,422,625
-1 -20,422,625

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 20,422,625.

Example:
1 x 20,422,625 = 20,422,625
and
-1 x -20,422,625 = 20,422,625
Notice both answers equal 20,422,625

With that explanation out of the way, let's continue. Next, we take the number 20,422,625 and divide it by 2:

20,422,625 ÷ 2 = 10,211,312.5

If the quotient is a whole number, then 2 and 10,211,312.5 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 20,422,625
-1 -20,422,625

Now, we try dividing 20,422,625 by 3:

20,422,625 ÷ 3 = 6,807,541.6667

If the quotient is a whole number, then 3 and 6,807,541.6667 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 20,422,625
-1 -20,422,625

Let's try dividing by 4:

20,422,625 ÷ 4 = 5,105,656.25

If the quotient is a whole number, then 4 and 5,105,656.25 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 20,422,625
-1 20,422,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,3758,59942,995163,381214,975816,9051,074,8754,084,52520,422,625
-1-5-19-25-95-125-475-2,375-8,599-42,995-163,381-214,975-816,905-1,074,875-4,084,525-20,422,625

More Examples

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