Q: What are the factor combinations of the number 14,020,225?

 A:
Positive:   1 x 140202255 x 280404523 x 60957525 x 56080937 x 378925115 x 121915185 x 75785575 x 24383659 x 21275851 x 16475925 x 151573295 x 4255
Negative: -1 x -14020225-5 x -2804045-23 x -609575-25 x -560809-37 x -378925-115 x -121915-185 x -75785-575 x -24383-659 x -21275-851 x -16475-925 x -15157-3295 x -4255


How do I find the factor combinations of the number 14,020,225?

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 14,020,225, 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 14,020,225
-1 -14,020,225

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 14,020,225.

Example:
1 x 14,020,225 = 14,020,225
and
-1 x -14,020,225 = 14,020,225
Notice both answers equal 14,020,225

With that explanation out of the way, let's continue. Next, we take the number 14,020,225 and divide it by 2:

14,020,225 ÷ 2 = 7,010,112.5

If the quotient is a whole number, then 2 and 7,010,112.5 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 14,020,225
-1 -14,020,225

Now, we try dividing 14,020,225 by 3:

14,020,225 ÷ 3 = 4,673,408.3333

If the quotient is a whole number, then 3 and 4,673,408.3333 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 14,020,225
-1 -14,020,225

Let's try dividing by 4:

14,020,225 ÷ 4 = 3,505,056.25

If the quotient is a whole number, then 4 and 3,505,056.25 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 14,020,225
-1 14,020,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152325371151855756598519253,2954,25515,15716,47521,27524,38375,785121,915378,925560,809609,5752,804,04514,020,225
-1-5-23-25-37-115-185-575-659-851-925-3,295-4,255-15,157-16,475-21,275-24,383-75,785-121,915-378,925-560,809-609,575-2,804,045-14,020,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,020,225:


Ask a Question