Q: What are the factor combinations of the number 52,325,143?

 A:
Positive:   1 x 5232514313 x 402501141 x 1276223127 x 412009533 x 98171773 x 676911651 x 316935207 x 10049
Negative: -1 x -52325143-13 x -4025011-41 x -1276223-127 x -412009-533 x -98171-773 x -67691-1651 x -31693-5207 x -10049


How do I find the factor combinations of the number 52,325,143?

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 52,325,143, 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 52,325,143
-1 -52,325,143

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 52,325,143.

Example:
1 x 52,325,143 = 52,325,143
and
-1 x -52,325,143 = 52,325,143
Notice both answers equal 52,325,143

With that explanation out of the way, let's continue. Next, we take the number 52,325,143 and divide it by 2:

52,325,143 ÷ 2 = 26,162,571.5

If the quotient is a whole number, then 2 and 26,162,571.5 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 52,325,143
-1 -52,325,143

Now, we try dividing 52,325,143 by 3:

52,325,143 ÷ 3 = 17,441,714.3333

If the quotient is a whole number, then 3 and 17,441,714.3333 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 52,325,143
-1 -52,325,143

Let's try dividing by 4:

52,325,143 ÷ 4 = 13,081,285.75

If the quotient is a whole number, then 4 and 13,081,285.75 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 52,325,143
-1 52,325,143
Keep dividing by the next highest number until you cannot divide anymore.

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

113411275337731,6515,20710,04931,69367,69198,171412,0091,276,2234,025,01152,325,143
-1-13-41-127-533-773-1,651-5,207-10,049-31,693-67,691-98,171-412,009-1,276,223-4,025,011-52,325,143

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