Q: What are the factor combinations of the number 14,160,029?

 A:
Positive:   1 x 1416002913 x 108923343 x 32930373 x 193973347 x 40807559 x 25331949 x 149213139 x 4511
Negative: -1 x -14160029-13 x -1089233-43 x -329303-73 x -193973-347 x -40807-559 x -25331-949 x -14921-3139 x -4511


How do I find the factor combinations of the number 14,160,029?

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 14,160,029, 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 14,160,029
-1 -14,160,029

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 14,160,029.

Example:
1 x 14,160,029 = 14,160,029
and
-1 x -14,160,029 = 14,160,029
Notice both answers equal 14,160,029

With that explanation out of the way, let's continue. Next, we take the number 14,160,029 and divide it by 2:

14,160,029 ÷ 2 = 7,080,014.5

If the quotient is a whole number, then 2 and 7,080,014.5 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 14,160,029
-1 -14,160,029

Now, we try dividing 14,160,029 by 3:

14,160,029 ÷ 3 = 4,720,009.6667

If the quotient is a whole number, then 3 and 4,720,009.6667 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 14,160,029
-1 -14,160,029

Let's try dividing by 4:

14,160,029 ÷ 4 = 3,540,007.25

If the quotient is a whole number, then 4 and 3,540,007.25 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 14,160,029
-1 14,160,029
Keep dividing by the next highest number until you cannot divide anymore.

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

11343733475599493,1394,51114,92125,33140,807193,973329,3031,089,23314,160,029
-1-13-43-73-347-559-949-3,139-4,511-14,921-25,331-40,807-193,973-329,303-1,089,233-14,160,029

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,160,029:


Ask a Question