Q: What are the factor combinations of the number 15,385,459?

 A:
Positive:   1 x 1538545917 x 90502719 x 80976123 x 668933109 x 141151323 x 47633361 x 42619391 x 39349437 x 352071853 x 83032071 x 74292507 x 6137
Negative: -1 x -15385459-17 x -905027-19 x -809761-23 x -668933-109 x -141151-323 x -47633-361 x -42619-391 x -39349-437 x -35207-1853 x -8303-2071 x -7429-2507 x -6137


How do I find the factor combinations of the number 15,385,459?

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 15,385,459, 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 15,385,459
-1 -15,385,459

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 15,385,459.

Example:
1 x 15,385,459 = 15,385,459
and
-1 x -15,385,459 = 15,385,459
Notice both answers equal 15,385,459

With that explanation out of the way, let's continue. Next, we take the number 15,385,459 and divide it by 2:

15,385,459 ÷ 2 = 7,692,729.5

If the quotient is a whole number, then 2 and 7,692,729.5 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 15,385,459
-1 -15,385,459

Now, we try dividing 15,385,459 by 3:

15,385,459 ÷ 3 = 5,128,486.3333

If the quotient is a whole number, then 3 and 5,128,486.3333 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 15,385,459
-1 -15,385,459

Let's try dividing by 4:

15,385,459 ÷ 4 = 3,846,364.75

If the quotient is a whole number, then 4 and 3,846,364.75 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 15,385,459
-1 15,385,459
Keep dividing by the next highest number until you cannot divide anymore.

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

11719231093233613914371,8532,0712,5076,1377,4298,30335,20739,34942,61947,633141,151668,933809,761905,02715,385,459
-1-17-19-23-109-323-361-391-437-1,853-2,071-2,507-6,137-7,429-8,303-35,207-39,349-42,619-47,633-141,151-668,933-809,761-905,027-15,385,459

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,385,459:


Ask a Question