Q: What are the factor combinations of the number 49,350,431?

 A:
Positive:   1 x 4935043113 x 379618729 x 170173979 x 624689377 x 1309031027 x 480531657 x 297832291 x 21541
Negative: -1 x -49350431-13 x -3796187-29 x -1701739-79 x -624689-377 x -130903-1027 x -48053-1657 x -29783-2291 x -21541


How do I find the factor combinations of the number 49,350,431?

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 49,350,431, 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 49,350,431
-1 -49,350,431

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 49,350,431.

Example:
1 x 49,350,431 = 49,350,431
and
-1 x -49,350,431 = 49,350,431
Notice both answers equal 49,350,431

With that explanation out of the way, let's continue. Next, we take the number 49,350,431 and divide it by 2:

49,350,431 ÷ 2 = 24,675,215.5

If the quotient is a whole number, then 2 and 24,675,215.5 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 49,350,431
-1 -49,350,431

Now, we try dividing 49,350,431 by 3:

49,350,431 ÷ 3 = 16,450,143.6667

If the quotient is a whole number, then 3 and 16,450,143.6667 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 49,350,431
-1 -49,350,431

Let's try dividing by 4:

49,350,431 ÷ 4 = 12,337,607.75

If the quotient is a whole number, then 4 and 12,337,607.75 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 49,350,431
-1 49,350,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11329793771,0271,6572,29121,54129,78348,053130,903624,6891,701,7393,796,18749,350,431
-1-13-29-79-377-1,027-1,657-2,291-21,541-29,783-48,053-130,903-624,689-1,701,739-3,796,187-49,350,431

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