Q: What are the factor combinations of the number 5,428,625?

 A:
Positive:   1 x 54286255 x 108572525 x 217145125 x 43429137 x 39625317 x 17125685 x 79251585 x 3425
Negative: -1 x -5428625-5 x -1085725-25 x -217145-125 x -43429-137 x -39625-317 x -17125-685 x -7925-1585 x -3425


How do I find the factor combinations of the number 5,428,625?

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 5,428,625, 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 5,428,625
-1 -5,428,625

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 5,428,625.

Example:
1 x 5,428,625 = 5,428,625
and
-1 x -5,428,625 = 5,428,625
Notice both answers equal 5,428,625

With that explanation out of the way, let's continue. Next, we take the number 5,428,625 and divide it by 2:

5,428,625 ÷ 2 = 2,714,312.5

If the quotient is a whole number, then 2 and 2,714,312.5 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 5,428,625
-1 -5,428,625

Now, we try dividing 5,428,625 by 3:

5,428,625 ÷ 3 = 1,809,541.6667

If the quotient is a whole number, then 3 and 1,809,541.6667 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 5,428,625
-1 -5,428,625

Let's try dividing by 4:

5,428,625 ÷ 4 = 1,357,156.25

If the quotient is a whole number, then 4 and 1,357,156.25 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 5,428,625
-1 5,428,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251373176851,5853,4257,92517,12539,62543,429217,1451,085,7255,428,625
-1-5-25-125-137-317-685-1,585-3,425-7,925-17,125-39,625-43,429-217,145-1,085,725-5,428,625

More Examples

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