Q: What are the factor combinations of the number 15,163,357?

 A:
Positive:   1 x 1516335711 x 1378487113 x 134189121 x 1253171109 x 136731243 x 12199
Negative: -1 x -15163357-11 x -1378487-113 x -134189-121 x -125317-1109 x -13673-1243 x -12199


How do I find the factor combinations of the number 15,163,357?

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 15,163,357, 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 15,163,357
-1 -15,163,357

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 15,163,357.

Example:
1 x 15,163,357 = 15,163,357
and
-1 x -15,163,357 = 15,163,357
Notice both answers equal 15,163,357

With that explanation out of the way, let's continue. Next, we take the number 15,163,357 and divide it by 2:

15,163,357 ÷ 2 = 7,581,678.5

If the quotient is a whole number, then 2 and 7,581,678.5 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 15,163,357
-1 -15,163,357

Now, we try dividing 15,163,357 by 3:

15,163,357 ÷ 3 = 5,054,452.3333

If the quotient is a whole number, then 3 and 5,054,452.3333 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 15,163,357
-1 -15,163,357

Let's try dividing by 4:

15,163,357 ÷ 4 = 3,790,839.25

If the quotient is a whole number, then 4 and 3,790,839.25 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 15,163,357
-1 15,163,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1111131211,1091,24312,19913,673125,317134,1891,378,48715,163,357
-1-11-113-121-1,109-1,243-12,199-13,673-125,317-134,189-1,378,487-15,163,357

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,163,357:


Ask a Question