Q: What are the factor combinations of the number 45,270,943?

 A:
Positive:   1 x 4527094329 x 156106731 x 146035337 x 1223539899 x 503571073 x 421911147 x 394691361 x 33263
Negative: -1 x -45270943-29 x -1561067-31 x -1460353-37 x -1223539-899 x -50357-1073 x -42191-1147 x -39469-1361 x -33263


How do I find the factor combinations of the number 45,270,943?

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 45,270,943, 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 45,270,943
-1 -45,270,943

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 45,270,943.

Example:
1 x 45,270,943 = 45,270,943
and
-1 x -45,270,943 = 45,270,943
Notice both answers equal 45,270,943

With that explanation out of the way, let's continue. Next, we take the number 45,270,943 and divide it by 2:

45,270,943 ÷ 2 = 22,635,471.5

If the quotient is a whole number, then 2 and 22,635,471.5 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 45,270,943
-1 -45,270,943

Now, we try dividing 45,270,943 by 3:

45,270,943 ÷ 3 = 15,090,314.3333

If the quotient is a whole number, then 3 and 15,090,314.3333 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 45,270,943
-1 -45,270,943

Let's try dividing by 4:

45,270,943 ÷ 4 = 11,317,735.75

If the quotient is a whole number, then 4 and 11,317,735.75 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 45,270,943
-1 45,270,943
Keep dividing by the next highest number until you cannot divide anymore.

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

12931378991,0731,1471,36133,26339,46942,19150,3571,223,5391,460,3531,561,06745,270,943
-1-29-31-37-899-1,073-1,147-1,361-33,263-39,469-42,191-50,357-1,223,539-1,460,353-1,561,067-45,270,943

More Examples

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