Q: What are the factor combinations of the number 15,264,469?

 A:
Positive:   1 x 1526446911 x 138767929 x 526361109 x 140041319 x 47851439 x 347711199 x 127313161 x 4829
Negative: -1 x -15264469-11 x -1387679-29 x -526361-109 x -140041-319 x -47851-439 x -34771-1199 x -12731-3161 x -4829


How do I find the factor combinations of the number 15,264,469?

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 15,264,469, 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 15,264,469
-1 -15,264,469

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 15,264,469.

Example:
1 x 15,264,469 = 15,264,469
and
-1 x -15,264,469 = 15,264,469
Notice both answers equal 15,264,469

With that explanation out of the way, let's continue. Next, we take the number 15,264,469 and divide it by 2:

15,264,469 ÷ 2 = 7,632,234.5

If the quotient is a whole number, then 2 and 7,632,234.5 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 15,264,469
-1 -15,264,469

Now, we try dividing 15,264,469 by 3:

15,264,469 ÷ 3 = 5,088,156.3333

If the quotient is a whole number, then 3 and 5,088,156.3333 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 15,264,469
-1 -15,264,469

Let's try dividing by 4:

15,264,469 ÷ 4 = 3,816,117.25

If the quotient is a whole number, then 4 and 3,816,117.25 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 15,264,469
-1 15,264,469
Keep dividing by the next highest number until you cannot divide anymore.

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

111291093194391,1993,1614,82912,73134,77147,851140,041526,3611,387,67915,264,469
-1-11-29-109-319-439-1,199-3,161-4,829-12,731-34,771-47,851-140,041-526,361-1,387,679-15,264,469

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,264,469:


Ask a Question