Q: What are the factor combinations of the number 14,323,315?

 A:
Positive:   1 x 143233155 x 2864663101 x 141815113 x 126755251 x 57065505 x 28363565 x 253511255 x 11413
Negative: -1 x -14323315-5 x -2864663-101 x -141815-113 x -126755-251 x -57065-505 x -28363-565 x -25351-1255 x -11413


How do I find the factor combinations of the number 14,323,315?

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 14,323,315, 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 14,323,315
-1 -14,323,315

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 14,323,315.

Example:
1 x 14,323,315 = 14,323,315
and
-1 x -14,323,315 = 14,323,315
Notice both answers equal 14,323,315

With that explanation out of the way, let's continue. Next, we take the number 14,323,315 and divide it by 2:

14,323,315 ÷ 2 = 7,161,657.5

If the quotient is a whole number, then 2 and 7,161,657.5 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 14,323,315
-1 -14,323,315

Now, we try dividing 14,323,315 by 3:

14,323,315 ÷ 3 = 4,774,438.3333

If the quotient is a whole number, then 3 and 4,774,438.3333 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 14,323,315
-1 -14,323,315

Let's try dividing by 4:

14,323,315 ÷ 4 = 3,580,828.75

If the quotient is a whole number, then 4 and 3,580,828.75 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 14,323,315
-1 14,323,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151011132515055651,25511,41325,35128,36357,065126,755141,8152,864,66314,323,315
-1-5-101-113-251-505-565-1,255-11,413-25,351-28,363-57,065-126,755-141,815-2,864,663-14,323,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,323,315:


Ask a Question