Q: What are the factor combinations of the number 14,325,155?

 A:
Positive:   1 x 143251555 x 286503113 x 110193565 x 22038773 x 196235365 x 39247949 x 150953019 x 4745
Negative: -1 x -14325155-5 x -2865031-13 x -1101935-65 x -220387-73 x -196235-365 x -39247-949 x -15095-3019 x -4745


How do I find the factor combinations of the number 14,325,155?

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 14,325,155, 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 14,325,155
-1 -14,325,155

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 14,325,155.

Example:
1 x 14,325,155 = 14,325,155
and
-1 x -14,325,155 = 14,325,155
Notice both answers equal 14,325,155

With that explanation out of the way, let's continue. Next, we take the number 14,325,155 and divide it by 2:

14,325,155 ÷ 2 = 7,162,577.5

If the quotient is a whole number, then 2 and 7,162,577.5 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 14,325,155
-1 -14,325,155

Now, we try dividing 14,325,155 by 3:

14,325,155 ÷ 3 = 4,775,051.6667

If the quotient is a whole number, then 3 and 4,775,051.6667 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 14,325,155
-1 -14,325,155

Let's try dividing by 4:

14,325,155 ÷ 4 = 3,581,288.75

If the quotient is a whole number, then 4 and 3,581,288.75 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 14,325,155
-1 14,325,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151365733659493,0194,74515,09539,247196,235220,3871,101,9352,865,03114,325,155
-1-5-13-65-73-365-949-3,019-4,745-15,095-39,247-196,235-220,387-1,101,935-2,865,031-14,325,155

More Examples

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