Q: What are the factor combinations of the number 52,621,625?

 A:
Positive:   1 x 526216255 x 105243257 x 751737525 x 210486535 x 1503475125 x 420973175 x 300695875 x 60139
Negative: -1 x -52621625-5 x -10524325-7 x -7517375-25 x -2104865-35 x -1503475-125 x -420973-175 x -300695-875 x -60139


How do I find the factor combinations of the number 52,621,625?

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 52,621,625, 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 52,621,625
-1 -52,621,625

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 52,621,625.

Example:
1 x 52,621,625 = 52,621,625
and
-1 x -52,621,625 = 52,621,625
Notice both answers equal 52,621,625

With that explanation out of the way, let's continue. Next, we take the number 52,621,625 and divide it by 2:

52,621,625 ÷ 2 = 26,310,812.5

If the quotient is a whole number, then 2 and 26,310,812.5 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 52,621,625
-1 -52,621,625

Now, we try dividing 52,621,625 by 3:

52,621,625 ÷ 3 = 17,540,541.6667

If the quotient is a whole number, then 3 and 17,540,541.6667 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 52,621,625
-1 -52,621,625

Let's try dividing by 4:

52,621,625 ÷ 4 = 13,155,406.25

If the quotient is a whole number, then 4 and 13,155,406.25 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 52,621,625
-1 52,621,625
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587560,139300,695420,9731,503,4752,104,8657,517,37510,524,32552,621,625
-1-5-7-25-35-125-175-875-60,139-300,695-420,973-1,503,475-2,104,865-7,517,375-10,524,325-52,621,625

More Examples

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