Q: What are the factor combinations of the number 5,401,625?

 A:
Positive:   1 x 54016255 x 108032525 x 21606579 x 68375125 x 43213395 x 13675547 x 98751975 x 2735
Negative: -1 x -5401625-5 x -1080325-25 x -216065-79 x -68375-125 x -43213-395 x -13675-547 x -9875-1975 x -2735


How do I find the factor combinations of the number 5,401,625?

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 5,401,625, 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 5,401,625
-1 -5,401,625

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 5,401,625.

Example:
1 x 5,401,625 = 5,401,625
and
-1 x -5,401,625 = 5,401,625
Notice both answers equal 5,401,625

With that explanation out of the way, let's continue. Next, we take the number 5,401,625 and divide it by 2:

5,401,625 ÷ 2 = 2,700,812.5

If the quotient is a whole number, then 2 and 2,700,812.5 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 5,401,625
-1 -5,401,625

Now, we try dividing 5,401,625 by 3:

5,401,625 ÷ 3 = 1,800,541.6667

If the quotient is a whole number, then 3 and 1,800,541.6667 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 5,401,625
-1 -5,401,625

Let's try dividing by 4:

5,401,625 ÷ 4 = 1,350,406.25

If the quotient is a whole number, then 4 and 1,350,406.25 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 5,401,625
-1 5,401,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525791253955471,9752,7359,87513,67543,21368,375216,0651,080,3255,401,625
-1-5-25-79-125-395-547-1,975-2,735-9,875-13,675-43,213-68,375-216,065-1,080,325-5,401,625

More Examples

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