Q: What are the factor combinations of the number 7,202,425?

 A:
Positive:   1 x 72024255 x 144048519 x 37907525 x 28809759 x 12207595 x 75815257 x 28025295 x 24415475 x 151631121 x 64251285 x 56051475 x 4883
Negative: -1 x -7202425-5 x -1440485-19 x -379075-25 x -288097-59 x -122075-95 x -75815-257 x -28025-295 x -24415-475 x -15163-1121 x -6425-1285 x -5605-1475 x -4883


How do I find the factor combinations of the number 7,202,425?

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 7,202,425, 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 7,202,425
-1 -7,202,425

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 7,202,425.

Example:
1 x 7,202,425 = 7,202,425
and
-1 x -7,202,425 = 7,202,425
Notice both answers equal 7,202,425

With that explanation out of the way, let's continue. Next, we take the number 7,202,425 and divide it by 2:

7,202,425 ÷ 2 = 3,601,212.5

If the quotient is a whole number, then 2 and 3,601,212.5 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 7,202,425
-1 -7,202,425

Now, we try dividing 7,202,425 by 3:

7,202,425 ÷ 3 = 2,400,808.3333

If the quotient is a whole number, then 3 and 2,400,808.3333 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 7,202,425
-1 -7,202,425

Let's try dividing by 4:

7,202,425 ÷ 4 = 1,800,606.25

If the quotient is a whole number, then 4 and 1,800,606.25 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 7,202,425
-1 7,202,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192559952572954751,1211,2851,4754,8835,6056,42515,16324,41528,02575,815122,075288,097379,0751,440,4857,202,425
-1-5-19-25-59-95-257-295-475-1,121-1,285-1,475-4,883-5,605-6,425-15,163-24,415-28,025-75,815-122,075-288,097-379,075-1,440,485-7,202,425

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