Q: What are the factor combinations of the number 52,000,039?

 A:
Positive:   1 x 520000397 x 742857713 x 400000391 x 571429139 x 374101973 x 534431807 x 287774111 x 12649
Negative: -1 x -52000039-7 x -7428577-13 x -4000003-91 x -571429-139 x -374101-973 x -53443-1807 x -28777-4111 x -12649


How do I find the factor combinations of the number 52,000,039?

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 52,000,039, 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 52,000,039
-1 -52,000,039

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 52,000,039.

Example:
1 x 52,000,039 = 52,000,039
and
-1 x -52,000,039 = 52,000,039
Notice both answers equal 52,000,039

With that explanation out of the way, let's continue. Next, we take the number 52,000,039 and divide it by 2:

52,000,039 ÷ 2 = 26,000,019.5

If the quotient is a whole number, then 2 and 26,000,019.5 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 52,000,039
-1 -52,000,039

Now, we try dividing 52,000,039 by 3:

52,000,039 ÷ 3 = 17,333,346.3333

If the quotient is a whole number, then 3 and 17,333,346.3333 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 52,000,039
-1 -52,000,039

Let's try dividing by 4:

52,000,039 ÷ 4 = 13,000,009.75

If the quotient is a whole number, then 4 and 13,000,009.75 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 52,000,039
-1 52,000,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911399731,8074,11112,64928,77753,443374,101571,4294,000,0037,428,57752,000,039
-1-7-13-91-139-973-1,807-4,111-12,649-28,777-53,443-374,101-571,429-4,000,003-7,428,577-52,000,039

More Examples

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