Q: What are the factor combinations of the number 5,575,625?

 A:
Positive:   1 x 55756255 x 111512511 x 50687525 x 22302555 x 101375125 x 44605275 x 20275625 x 8921811 x 68751375 x 4055
Negative: -1 x -5575625-5 x -1115125-11 x -506875-25 x -223025-55 x -101375-125 x -44605-275 x -20275-625 x -8921-811 x -6875-1375 x -4055


How do I find the factor combinations of the number 5,575,625?

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 5,575,625, 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 5,575,625
-1 -5,575,625

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 5,575,625.

Example:
1 x 5,575,625 = 5,575,625
and
-1 x -5,575,625 = 5,575,625
Notice both answers equal 5,575,625

With that explanation out of the way, let's continue. Next, we take the number 5,575,625 and divide it by 2:

5,575,625 ÷ 2 = 2,787,812.5

If the quotient is a whole number, then 2 and 2,787,812.5 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 5,575,625
-1 -5,575,625

Now, we try dividing 5,575,625 by 3:

5,575,625 ÷ 3 = 1,858,541.6667

If the quotient is a whole number, then 3 and 1,858,541.6667 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 5,575,625
-1 -5,575,625

Let's try dividing by 4:

5,575,625 ÷ 4 = 1,393,906.25

If the quotient is a whole number, then 4 and 1,393,906.25 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 5,575,625
-1 5,575,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252756258111,3754,0556,8758,92120,27544,605101,375223,025506,8751,115,1255,575,625
-1-5-11-25-55-125-275-625-811-1,375-4,055-6,875-8,921-20,275-44,605-101,375-223,025-506,875-1,115,125-5,575,625

More Examples

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