Q: What are the factor combinations of the number 14,012,215?

 A:
Positive:   1 x 140122155 x 28024437 x 200174519 x 73748535 x 40034995 x 147497133 x 105355361 x 38815665 x 210711109 x 126351805 x 77632527 x 5545
Negative: -1 x -14012215-5 x -2802443-7 x -2001745-19 x -737485-35 x -400349-95 x -147497-133 x -105355-361 x -38815-665 x -21071-1109 x -12635-1805 x -7763-2527 x -5545


How do I find the factor combinations of the number 14,012,215?

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 14,012,215, 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 14,012,215
-1 -14,012,215

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 14,012,215.

Example:
1 x 14,012,215 = 14,012,215
and
-1 x -14,012,215 = 14,012,215
Notice both answers equal 14,012,215

With that explanation out of the way, let's continue. Next, we take the number 14,012,215 and divide it by 2:

14,012,215 ÷ 2 = 7,006,107.5

If the quotient is a whole number, then 2 and 7,006,107.5 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 14,012,215
-1 -14,012,215

Now, we try dividing 14,012,215 by 3:

14,012,215 ÷ 3 = 4,670,738.3333

If the quotient is a whole number, then 3 and 4,670,738.3333 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 14,012,215
-1 -14,012,215

Let's try dividing by 4:

14,012,215 ÷ 4 = 3,503,053.75

If the quotient is a whole number, then 4 and 3,503,053.75 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 14,012,215
-1 14,012,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951333616651,1091,8052,5275,5457,76312,63521,07138,815105,355147,497400,349737,4852,001,7452,802,44314,012,215
-1-5-7-19-35-95-133-361-665-1,109-1,805-2,527-5,545-7,763-12,635-21,071-38,815-105,355-147,497-400,349-737,485-2,001,745-2,802,443-14,012,215

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,012,215:


Ask a Question