Q: What are the factor combinations of the number 13,374,803?

 A:
Positive:   1 x 1337480313 x 102883119 x 703937173 x 77311247 x 54149313 x 427312249 x 59473287 x 4069
Negative: -1 x -13374803-13 x -1028831-19 x -703937-173 x -77311-247 x -54149-313 x -42731-2249 x -5947-3287 x -4069


How do I find the factor combinations of the number 13,374,803?

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 13,374,803, 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 13,374,803
-1 -13,374,803

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 13,374,803.

Example:
1 x 13,374,803 = 13,374,803
and
-1 x -13,374,803 = 13,374,803
Notice both answers equal 13,374,803

With that explanation out of the way, let's continue. Next, we take the number 13,374,803 and divide it by 2:

13,374,803 ÷ 2 = 6,687,401.5

If the quotient is a whole number, then 2 and 6,687,401.5 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 13,374,803
-1 -13,374,803

Now, we try dividing 13,374,803 by 3:

13,374,803 ÷ 3 = 4,458,267.6667

If the quotient is a whole number, then 3 and 4,458,267.6667 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 13,374,803
-1 -13,374,803

Let's try dividing by 4:

13,374,803 ÷ 4 = 3,343,700.75

If the quotient is a whole number, then 4 and 3,343,700.75 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 13,374,803
-1 13,374,803
Keep dividing by the next highest number until you cannot divide anymore.

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

113191732473132,2493,2874,0695,94742,73154,14977,311703,9371,028,83113,374,803
-1-13-19-173-247-313-2,249-3,287-4,069-5,947-42,731-54,149-77,311-703,937-1,028,831-13,374,803

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,374,803:


Ask a Question