Q: What are the factor combinations of the number 49,237,835?

 A:
Positive:   1 x 492378355 x 984756719 x 259146595 x 518293523 x 94145991 x 496852615 x 188294955 x 9937
Negative: -1 x -49237835-5 x -9847567-19 x -2591465-95 x -518293-523 x -94145-991 x -49685-2615 x -18829-4955 x -9937


How do I find the factor combinations of the number 49,237,835?

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 49,237,835, 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 49,237,835
-1 -49,237,835

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 49,237,835.

Example:
1 x 49,237,835 = 49,237,835
and
-1 x -49,237,835 = 49,237,835
Notice both answers equal 49,237,835

With that explanation out of the way, let's continue. Next, we take the number 49,237,835 and divide it by 2:

49,237,835 ÷ 2 = 24,618,917.5

If the quotient is a whole number, then 2 and 24,618,917.5 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 49,237,835
-1 -49,237,835

Now, we try dividing 49,237,835 by 3:

49,237,835 ÷ 3 = 16,412,611.6667

If the quotient is a whole number, then 3 and 16,412,611.6667 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 49,237,835
-1 -49,237,835

Let's try dividing by 4:

49,237,835 ÷ 4 = 12,309,458.75

If the quotient is a whole number, then 4 and 12,309,458.75 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 49,237,835
-1 49,237,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1519955239912,6154,9559,93718,82949,68594,145518,2932,591,4659,847,56749,237,835
-1-5-19-95-523-991-2,615-4,955-9,937-18,829-49,685-94,145-518,293-2,591,465-9,847,567-49,237,835

More Examples

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