Q: What are the factor combinations of the number 4,245,325?

 A:
Positive:   1 x 42453255 x 8490657 x 60647517 x 24972525 x 16981335 x 12129585 x 49945119 x 35675175 x 24259425 x 9989595 x 71351427 x 2975
Negative: -1 x -4245325-5 x -849065-7 x -606475-17 x -249725-25 x -169813-35 x -121295-85 x -49945-119 x -35675-175 x -24259-425 x -9989-595 x -7135-1427 x -2975


How do I find the factor combinations of the number 4,245,325?

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 4,245,325, 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 4,245,325
-1 -4,245,325

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 4,245,325.

Example:
1 x 4,245,325 = 4,245,325
and
-1 x -4,245,325 = 4,245,325
Notice both answers equal 4,245,325

With that explanation out of the way, let's continue. Next, we take the number 4,245,325 and divide it by 2:

4,245,325 ÷ 2 = 2,122,662.5

If the quotient is a whole number, then 2 and 2,122,662.5 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 4,245,325
-1 -4,245,325

Now, we try dividing 4,245,325 by 3:

4,245,325 ÷ 3 = 1,415,108.3333

If the quotient is a whole number, then 3 and 1,415,108.3333 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 4,245,325
-1 -4,245,325

Let's try dividing by 4:

4,245,325 ÷ 4 = 1,061,331.25

If the quotient is a whole number, then 4 and 1,061,331.25 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 4,245,325
-1 4,245,325
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255951,4272,9757,1359,98924,25935,67549,945121,295169,813249,725606,475849,0654,245,325
-1-5-7-17-25-35-85-119-175-425-595-1,427-2,975-7,135-9,989-24,259-35,675-49,945-121,295-169,813-249,725-606,475-849,065-4,245,325

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