Q: What are the factor combinations of the number 4,224,325?

 A:
Positive:   1 x 42243255 x 8448657 x 60347525 x 16897335 x 120695101 x 41825175 x 24139239 x 17675505 x 8365707 x 59751195 x 35351673 x 2525
Negative: -1 x -4224325-5 x -844865-7 x -603475-25 x -168973-35 x -120695-101 x -41825-175 x -24139-239 x -17675-505 x -8365-707 x -5975-1195 x -3535-1673 x -2525


How do I find the factor combinations of the number 4,224,325?

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 4,224,325, 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 4,224,325
-1 -4,224,325

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 4,224,325.

Example:
1 x 4,224,325 = 4,224,325
and
-1 x -4,224,325 = 4,224,325
Notice both answers equal 4,224,325

With that explanation out of the way, let's continue. Next, we take the number 4,224,325 and divide it by 2:

4,224,325 ÷ 2 = 2,112,162.5

If the quotient is a whole number, then 2 and 2,112,162.5 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 4,224,325
-1 -4,224,325

Now, we try dividing 4,224,325 by 3:

4,224,325 ÷ 3 = 1,408,108.3333

If the quotient is a whole number, then 3 and 1,408,108.3333 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 4,224,325
-1 -4,224,325

Let's try dividing by 4:

4,224,325 ÷ 4 = 1,056,081.25

If the quotient is a whole number, then 4 and 1,056,081.25 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 4,224,325
-1 4,224,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351011752395057071,1951,6732,5253,5355,9758,36517,67524,13941,825120,695168,973603,475844,8654,224,325
-1-5-7-25-35-101-175-239-505-707-1,195-1,673-2,525-3,535-5,975-8,365-17,675-24,139-41,825-120,695-168,973-603,475-844,865-4,224,325

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