Q: What are the factor combinations of the number 47,605,145?

 A:
Positive:   1 x 476051455 x 95210297 x 680073535 x 136014771 x 670495355 x 134099497 x 957852485 x 19157
Negative: -1 x -47605145-5 x -9521029-7 x -6800735-35 x -1360147-71 x -670495-355 x -134099-497 x -95785-2485 x -19157


How do I find the factor combinations of the number 47,605,145?

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 47,605,145, 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 47,605,145
-1 -47,605,145

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 47,605,145.

Example:
1 x 47,605,145 = 47,605,145
and
-1 x -47,605,145 = 47,605,145
Notice both answers equal 47,605,145

With that explanation out of the way, let's continue. Next, we take the number 47,605,145 and divide it by 2:

47,605,145 ÷ 2 = 23,802,572.5

If the quotient is a whole number, then 2 and 23,802,572.5 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 47,605,145
-1 -47,605,145

Now, we try dividing 47,605,145 by 3:

47,605,145 ÷ 3 = 15,868,381.6667

If the quotient is a whole number, then 3 and 15,868,381.6667 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 47,605,145
-1 -47,605,145

Let's try dividing by 4:

47,605,145 ÷ 4 = 11,901,286.25

If the quotient is a whole number, then 4 and 11,901,286.25 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 47,605,145
-1 47,605,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,48519,15795,785134,099670,4951,360,1476,800,7359,521,02947,605,145
-1-5-7-35-71-355-497-2,485-19,157-95,785-134,099-670,495-1,360,147-6,800,735-9,521,029-47,605,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,605,145:


Ask a Question