Q: What are the factor combinations of the number 13,347,763?

 A:
Positive:   1 x 1334776311 x 121343313 x 102675131 x 430573143 x 93341341 x 39143403 x 331213011 x 4433
Negative: -1 x -13347763-11 x -1213433-13 x -1026751-31 x -430573-143 x -93341-341 x -39143-403 x -33121-3011 x -4433


How do I find the factor combinations of the number 13,347,763?

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 13,347,763, 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 13,347,763
-1 -13,347,763

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 13,347,763.

Example:
1 x 13,347,763 = 13,347,763
and
-1 x -13,347,763 = 13,347,763
Notice both answers equal 13,347,763

With that explanation out of the way, let's continue. Next, we take the number 13,347,763 and divide it by 2:

13,347,763 ÷ 2 = 6,673,881.5

If the quotient is a whole number, then 2 and 6,673,881.5 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 13,347,763
-1 -13,347,763

Now, we try dividing 13,347,763 by 3:

13,347,763 ÷ 3 = 4,449,254.3333

If the quotient is a whole number, then 3 and 4,449,254.3333 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 13,347,763
-1 -13,347,763

Let's try dividing by 4:

13,347,763 ÷ 4 = 3,336,940.75

If the quotient is a whole number, then 4 and 3,336,940.75 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 13,347,763
-1 13,347,763
Keep dividing by the next highest number until you cannot divide anymore.

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

11113311433414033,0114,43333,12139,14393,341430,5731,026,7511,213,43313,347,763
-1-11-13-31-143-341-403-3,011-4,433-33,121-39,143-93,341-430,573-1,026,751-1,213,433-13,347,763

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,347,763:


Ask a Question