Q: What are the factor combinations of the number 9,502,945?

 A:
Positive:   1 x 95029455 x 190058919 x 50015567 x 14183595 x 100031335 x 283671273 x 74651493 x 6365
Negative: -1 x -9502945-5 x -1900589-19 x -500155-67 x -141835-95 x -100031-335 x -28367-1273 x -7465-1493 x -6365


How do I find the factor combinations of the number 9,502,945?

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 9,502,945, 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 9,502,945
-1 -9,502,945

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 9,502,945.

Example:
1 x 9,502,945 = 9,502,945
and
-1 x -9,502,945 = 9,502,945
Notice both answers equal 9,502,945

With that explanation out of the way, let's continue. Next, we take the number 9,502,945 and divide it by 2:

9,502,945 ÷ 2 = 4,751,472.5

If the quotient is a whole number, then 2 and 4,751,472.5 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 9,502,945
-1 -9,502,945

Now, we try dividing 9,502,945 by 3:

9,502,945 ÷ 3 = 3,167,648.3333

If the quotient is a whole number, then 3 and 3,167,648.3333 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 9,502,945
-1 -9,502,945

Let's try dividing by 4:

9,502,945 ÷ 4 = 2,375,736.25

If the quotient is a whole number, then 4 and 2,375,736.25 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 9,502,945
-1 9,502,945
Keep dividing by the next highest number until you cannot divide anymore.

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

151967953351,2731,4936,3657,46528,367100,031141,835500,1551,900,5899,502,945
-1-5-19-67-95-335-1,273-1,493-6,365-7,465-28,367-100,031-141,835-500,155-1,900,589-9,502,945

More Examples

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