Q: What are the factor combinations of the number 52,012,367?

 A:
Positive:   1 x 5201236711 x 472839717 x 305955119 x 2737493187 x 278141209 x 248863323 x 1610293553 x 14639
Negative: -1 x -52012367-11 x -4728397-17 x -3059551-19 x -2737493-187 x -278141-209 x -248863-323 x -161029-3553 x -14639


How do I find the factor combinations of the number 52,012,367?

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 52,012,367, 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 52,012,367
-1 -52,012,367

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 52,012,367.

Example:
1 x 52,012,367 = 52,012,367
and
-1 x -52,012,367 = 52,012,367
Notice both answers equal 52,012,367

With that explanation out of the way, let's continue. Next, we take the number 52,012,367 and divide it by 2:

52,012,367 ÷ 2 = 26,006,183.5

If the quotient is a whole number, then 2 and 26,006,183.5 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 52,012,367
-1 -52,012,367

Now, we try dividing 52,012,367 by 3:

52,012,367 ÷ 3 = 17,337,455.6667

If the quotient is a whole number, then 3 and 17,337,455.6667 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 52,012,367
-1 -52,012,367

Let's try dividing by 4:

52,012,367 ÷ 4 = 13,003,091.75

If the quotient is a whole number, then 4 and 13,003,091.75 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 52,012,367
-1 52,012,367
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,55314,639161,029248,863278,1412,737,4933,059,5514,728,39752,012,367
-1-11-17-19-187-209-323-3,553-14,639-161,029-248,863-278,141-2,737,493-3,059,551-4,728,397-52,012,367

More Examples

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