Q: What are the factor combinations of the number 49,291,435?

 A:
Positive:   1 x 492914355 x 9858287109 x 452215149 x 330815545 x 90443607 x 81205745 x 661633035 x 16241
Negative: -1 x -49291435-5 x -9858287-109 x -452215-149 x -330815-545 x -90443-607 x -81205-745 x -66163-3035 x -16241


How do I find the factor combinations of the number 49,291,435?

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 49,291,435, 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 49,291,435
-1 -49,291,435

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 49,291,435.

Example:
1 x 49,291,435 = 49,291,435
and
-1 x -49,291,435 = 49,291,435
Notice both answers equal 49,291,435

With that explanation out of the way, let's continue. Next, we take the number 49,291,435 and divide it by 2:

49,291,435 ÷ 2 = 24,645,717.5

If the quotient is a whole number, then 2 and 24,645,717.5 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 49,291,435
-1 -49,291,435

Now, we try dividing 49,291,435 by 3:

49,291,435 ÷ 3 = 16,430,478.3333

If the quotient is a whole number, then 3 and 16,430,478.3333 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 49,291,435
-1 -49,291,435

Let's try dividing by 4:

49,291,435 ÷ 4 = 12,322,858.75

If the quotient is a whole number, then 4 and 12,322,858.75 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 49,291,435
-1 49,291,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151091495456077453,03516,24166,16381,20590,443330,815452,2159,858,28749,291,435
-1-5-109-149-545-607-745-3,035-16,241-66,163-81,205-90,443-330,815-452,215-9,858,287-49,291,435

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 49,291,435:


Ask a Question