Q: What are the factor combinations of the number 14,424,641?

 A:
Positive:   1 x 144246417 x 206066311 x 131133131 x 46531177 x 187333217 x 66473341 x 423012387 x 6043
Negative: -1 x -14424641-7 x -2060663-11 x -1311331-31 x -465311-77 x -187333-217 x -66473-341 x -42301-2387 x -6043


How do I find the factor combinations of the number 14,424,641?

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 14,424,641, 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 14,424,641
-1 -14,424,641

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 14,424,641.

Example:
1 x 14,424,641 = 14,424,641
and
-1 x -14,424,641 = 14,424,641
Notice both answers equal 14,424,641

With that explanation out of the way, let's continue. Next, we take the number 14,424,641 and divide it by 2:

14,424,641 ÷ 2 = 7,212,320.5

If the quotient is a whole number, then 2 and 7,212,320.5 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 14,424,641
-1 -14,424,641

Now, we try dividing 14,424,641 by 3:

14,424,641 ÷ 3 = 4,808,213.6667

If the quotient is a whole number, then 3 and 4,808,213.6667 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 14,424,641
-1 -14,424,641

Let's try dividing by 4:

14,424,641 ÷ 4 = 3,606,160.25

If the quotient is a whole number, then 4 and 3,606,160.25 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 14,424,641
-1 14,424,641
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,3876,04342,30166,473187,333465,3111,311,3312,060,66314,424,641
-1-7-11-31-77-217-341-2,387-6,043-42,301-66,473-187,333-465,311-1,311,331-2,060,663-14,424,641

More Examples

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