Q: What are the factor combinations of the number 52,238,671?

 A:
Positive:   1 x 5223867117 x 307286379 x 66124997 x 538543401 x 1302711343 x 388971649 x 316796817 x 7663
Negative: -1 x -52238671-17 x -3072863-79 x -661249-97 x -538543-401 x -130271-1343 x -38897-1649 x -31679-6817 x -7663


How do I find the factor combinations of the number 52,238,671?

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 52,238,671, 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 52,238,671
-1 -52,238,671

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 52,238,671.

Example:
1 x 52,238,671 = 52,238,671
and
-1 x -52,238,671 = 52,238,671
Notice both answers equal 52,238,671

With that explanation out of the way, let's continue. Next, we take the number 52,238,671 and divide it by 2:

52,238,671 ÷ 2 = 26,119,335.5

If the quotient is a whole number, then 2 and 26,119,335.5 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 52,238,671
-1 -52,238,671

Now, we try dividing 52,238,671 by 3:

52,238,671 ÷ 3 = 17,412,890.3333

If the quotient is a whole number, then 3 and 17,412,890.3333 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 52,238,671
-1 -52,238,671

Let's try dividing by 4:

52,238,671 ÷ 4 = 13,059,667.75

If the quotient is a whole number, then 4 and 13,059,667.75 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 52,238,671
-1 52,238,671
Keep dividing by the next highest number until you cannot divide anymore.

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

11779974011,3431,6496,8177,66331,67938,897130,271538,543661,2493,072,86352,238,671
-1-17-79-97-401-1,343-1,649-6,817-7,663-31,679-38,897-130,271-538,543-661,249-3,072,863-52,238,671

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