Q: What are the factor combinations of the number 15,322,945?

 A:
Positive:   1 x 153229455 x 306458911 x 139299523 x 66621555 x 278599115 x 133243253 x 605651265 x 12113
Negative: -1 x -15322945-5 x -3064589-11 x -1392995-23 x -666215-55 x -278599-115 x -133243-253 x -60565-1265 x -12113


How do I find the factor combinations of the number 15,322,945?

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 15,322,945, 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 15,322,945
-1 -15,322,945

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 15,322,945.

Example:
1 x 15,322,945 = 15,322,945
and
-1 x -15,322,945 = 15,322,945
Notice both answers equal 15,322,945

With that explanation out of the way, let's continue. Next, we take the number 15,322,945 and divide it by 2:

15,322,945 ÷ 2 = 7,661,472.5

If the quotient is a whole number, then 2 and 7,661,472.5 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 15,322,945
-1 -15,322,945

Now, we try dividing 15,322,945 by 3:

15,322,945 ÷ 3 = 5,107,648.3333

If the quotient is a whole number, then 3 and 5,107,648.3333 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 15,322,945
-1 -15,322,945

Let's try dividing by 4:

15,322,945 ÷ 4 = 3,830,736.25

If the quotient is a whole number, then 4 and 3,830,736.25 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 15,322,945
-1 15,322,945
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26512,11360,565133,243278,599666,2151,392,9953,064,58915,322,945
-1-5-11-23-55-115-253-1,265-12,113-60,565-133,243-278,599-666,215-1,392,995-3,064,589-15,322,945

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,322,945:


Ask a Question