Q: What are the factor combinations of the number 13,471,267?

 A:
Positive:   1 x 1347126731 x 434557103 x 1307893193 x 4219
Negative: -1 x -13471267-31 x -434557-103 x -130789-3193 x -4219


How do I find the factor combinations of the number 13,471,267?

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 13,471,267, 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 13,471,267
-1 -13,471,267

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 13,471,267.

Example:
1 x 13,471,267 = 13,471,267
and
-1 x -13,471,267 = 13,471,267
Notice both answers equal 13,471,267

With that explanation out of the way, let's continue. Next, we take the number 13,471,267 and divide it by 2:

13,471,267 ÷ 2 = 6,735,633.5

If the quotient is a whole number, then 2 and 6,735,633.5 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 13,471,267
-1 -13,471,267

Now, we try dividing 13,471,267 by 3:

13,471,267 ÷ 3 = 4,490,422.3333

If the quotient is a whole number, then 3 and 4,490,422.3333 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 13,471,267
-1 -13,471,267

Let's try dividing by 4:

13,471,267 ÷ 4 = 3,367,816.75

If the quotient is a whole number, then 4 and 3,367,816.75 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 13,471,267
-1 13,471,267
Keep dividing by the next highest number until you cannot divide anymore.

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

1311033,1934,219130,789434,55713,471,267
-1-31-103-3,193-4,219-130,789-434,557-13,471,267

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,471,267:


Ask a Question