Q: What are the factor combinations of the number 4,405,225?

 A:
Positive:   1 x 44052255 x 88104511 x 40047525 x 17620955 x 8009583 x 53075193 x 22825275 x 16019415 x 10615913 x 4825965 x 45652075 x 2123
Negative: -1 x -4405225-5 x -881045-11 x -400475-25 x -176209-55 x -80095-83 x -53075-193 x -22825-275 x -16019-415 x -10615-913 x -4825-965 x -4565-2075 x -2123


How do I find the factor combinations of the number 4,405,225?

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 4,405,225, 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 4,405,225
-1 -4,405,225

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 4,405,225.

Example:
1 x 4,405,225 = 4,405,225
and
-1 x -4,405,225 = 4,405,225
Notice both answers equal 4,405,225

With that explanation out of the way, let's continue. Next, we take the number 4,405,225 and divide it by 2:

4,405,225 ÷ 2 = 2,202,612.5

If the quotient is a whole number, then 2 and 2,202,612.5 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 4,405,225
-1 -4,405,225

Now, we try dividing 4,405,225 by 3:

4,405,225 ÷ 3 = 1,468,408.3333

If the quotient is a whole number, then 3 and 1,468,408.3333 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 4,405,225
-1 -4,405,225

Let's try dividing by 4:

4,405,225 ÷ 4 = 1,101,306.25

If the quotient is a whole number, then 4 and 1,101,306.25 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 4,405,225
-1 4,405,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555831932754159139652,0752,1234,5654,82510,61516,01922,82553,07580,095176,209400,475881,0454,405,225
-1-5-11-25-55-83-193-275-415-913-965-2,075-2,123-4,565-4,825-10,615-16,019-22,825-53,075-80,095-176,209-400,475-881,045-4,405,225

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