Q: What are the factor combinations of the number 52,425,841?

 A:
Positive:   1 x 5242584113 x 403275717 x 3083873151 x 347191221 x 2372211571 x 333711963 x 267072567 x 20423
Negative: -1 x -52425841-13 x -4032757-17 x -3083873-151 x -347191-221 x -237221-1571 x -33371-1963 x -26707-2567 x -20423


How do I find the factor combinations of the number 52,425,841?

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 52,425,841, 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 52,425,841
-1 -52,425,841

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 52,425,841.

Example:
1 x 52,425,841 = 52,425,841
and
-1 x -52,425,841 = 52,425,841
Notice both answers equal 52,425,841

With that explanation out of the way, let's continue. Next, we take the number 52,425,841 and divide it by 2:

52,425,841 ÷ 2 = 26,212,920.5

If the quotient is a whole number, then 2 and 26,212,920.5 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 52,425,841
-1 -52,425,841

Now, we try dividing 52,425,841 by 3:

52,425,841 ÷ 3 = 17,475,280.3333

If the quotient is a whole number, then 3 and 17,475,280.3333 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 52,425,841
-1 -52,425,841

Let's try dividing by 4:

52,425,841 ÷ 4 = 13,106,460.25

If the quotient is a whole number, then 4 and 13,106,460.25 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 52,425,841
-1 52,425,841
Keep dividing by the next highest number until you cannot divide anymore.

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

113171512211,5711,9632,56720,42326,70733,371237,221347,1913,083,8734,032,75752,425,841
-1-13-17-151-221-1,571-1,963-2,567-20,423-26,707-33,371-237,221-347,191-3,083,873-4,032,757-52,425,841

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