Q: What are the factor combinations of the number 4,524,845?

 A:
Positive:   1 x 45248455 x 90496913 x 34806565 x 6961367 x 67535335 x 13507871 x 51951039 x 4355
Negative: -1 x -4524845-5 x -904969-13 x -348065-65 x -69613-67 x -67535-335 x -13507-871 x -5195-1039 x -4355


How do I find the factor combinations of the number 4,524,845?

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 4,524,845, 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 4,524,845
-1 -4,524,845

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 4,524,845.

Example:
1 x 4,524,845 = 4,524,845
and
-1 x -4,524,845 = 4,524,845
Notice both answers equal 4,524,845

With that explanation out of the way, let's continue. Next, we take the number 4,524,845 and divide it by 2:

4,524,845 ÷ 2 = 2,262,422.5

If the quotient is a whole number, then 2 and 2,262,422.5 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 4,524,845
-1 -4,524,845

Now, we try dividing 4,524,845 by 3:

4,524,845 ÷ 3 = 1,508,281.6667

If the quotient is a whole number, then 3 and 1,508,281.6667 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 4,524,845
-1 -4,524,845

Let's try dividing by 4:

4,524,845 ÷ 4 = 1,131,211.25

If the quotient is a whole number, then 4 and 1,131,211.25 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 4,524,845
-1 4,524,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151365673358711,0394,3555,19513,50767,53569,613348,065904,9694,524,845
-1-5-13-65-67-335-871-1,039-4,355-5,195-13,507-67,535-69,613-348,065-904,969-4,524,845

More Examples

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