Q: What are the factor combinations of the number 52,001,675?

 A:
Positive:   1 x 520016755 x 1040033511 x 472742525 x 208006755 x 945485263 x 197725275 x 189097719 x 723251315 x 395452893 x 179753595 x 144656575 x 7909
Negative: -1 x -52001675-5 x -10400335-11 x -4727425-25 x -2080067-55 x -945485-263 x -197725-275 x -189097-719 x -72325-1315 x -39545-2893 x -17975-3595 x -14465-6575 x -7909


How do I find the factor combinations of the number 52,001,675?

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 52,001,675, 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 52,001,675
-1 -52,001,675

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 52,001,675.

Example:
1 x 52,001,675 = 52,001,675
and
-1 x -52,001,675 = 52,001,675
Notice both answers equal 52,001,675

With that explanation out of the way, let's continue. Next, we take the number 52,001,675 and divide it by 2:

52,001,675 ÷ 2 = 26,000,837.5

If the quotient is a whole number, then 2 and 26,000,837.5 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 52,001,675
-1 -52,001,675

Now, we try dividing 52,001,675 by 3:

52,001,675 ÷ 3 = 17,333,891.6667

If the quotient is a whole number, then 3 and 17,333,891.6667 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 52,001,675
-1 -52,001,675

Let's try dividing by 4:

52,001,675 ÷ 4 = 13,000,418.75

If the quotient is a whole number, then 4 and 13,000,418.75 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 52,001,675
-1 52,001,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552632757191,3152,8933,5956,5757,90914,46517,97539,54572,325189,097197,725945,4852,080,0674,727,42510,400,33552,001,675
-1-5-11-25-55-263-275-719-1,315-2,893-3,595-6,575-7,909-14,465-17,975-39,545-72,325-189,097-197,725-945,485-2,080,067-4,727,425-10,400,335-52,001,675

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