Q: What are the factor combinations of the number 14,420,705?

 A:
Positive:   1 x 144207055 x 288414113 x 110928561 x 23640565 x 221857305 x 47281793 x 181853637 x 3965
Negative: -1 x -14420705-5 x -2884141-13 x -1109285-61 x -236405-65 x -221857-305 x -47281-793 x -18185-3637 x -3965


How do I find the factor combinations of the number 14,420,705?

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 14,420,705, 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 14,420,705
-1 -14,420,705

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 14,420,705.

Example:
1 x 14,420,705 = 14,420,705
and
-1 x -14,420,705 = 14,420,705
Notice both answers equal 14,420,705

With that explanation out of the way, let's continue. Next, we take the number 14,420,705 and divide it by 2:

14,420,705 ÷ 2 = 7,210,352.5

If the quotient is a whole number, then 2 and 7,210,352.5 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 14,420,705
-1 -14,420,705

Now, we try dividing 14,420,705 by 3:

14,420,705 ÷ 3 = 4,806,901.6667

If the quotient is a whole number, then 3 and 4,806,901.6667 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 14,420,705
-1 -14,420,705

Let's try dividing by 4:

14,420,705 ÷ 4 = 3,605,176.25

If the quotient is a whole number, then 4 and 3,605,176.25 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 14,420,705
-1 14,420,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151361653057933,6373,96518,18547,281221,857236,4051,109,2852,884,14114,420,705
-1-5-13-61-65-305-793-3,637-3,965-18,185-47,281-221,857-236,405-1,109,285-2,884,141-14,420,705

More Examples

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