Q: What are the factor combinations of the number 47,307,385?

 A:
Positive:   1 x 473073855 x 946147797 x 487705103 x 459295485 x 97541515 x 91859947 x 499554735 x 9991
Negative: -1 x -47307385-5 x -9461477-97 x -487705-103 x -459295-485 x -97541-515 x -91859-947 x -49955-4735 x -9991


How do I find the factor combinations of the number 47,307,385?

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 47,307,385, 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 47,307,385
-1 -47,307,385

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 47,307,385.

Example:
1 x 47,307,385 = 47,307,385
and
-1 x -47,307,385 = 47,307,385
Notice both answers equal 47,307,385

With that explanation out of the way, let's continue. Next, we take the number 47,307,385 and divide it by 2:

47,307,385 ÷ 2 = 23,653,692.5

If the quotient is a whole number, then 2 and 23,653,692.5 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 47,307,385
-1 -47,307,385

Now, we try dividing 47,307,385 by 3:

47,307,385 ÷ 3 = 15,769,128.3333

If the quotient is a whole number, then 3 and 15,769,128.3333 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 47,307,385
-1 -47,307,385

Let's try dividing by 4:

47,307,385 ÷ 4 = 11,826,846.25

If the quotient is a whole number, then 4 and 11,826,846.25 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 47,307,385
-1 47,307,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15971034855159474,7359,99149,95591,85997,541459,295487,7059,461,47747,307,385
-1-5-97-103-485-515-947-4,735-9,991-49,955-91,859-97,541-459,295-487,705-9,461,477-47,307,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,307,385:


Ask a Question