Q: What are the factor combinations of the number 15,379,135?

 A:
Positive:   1 x 153791355 x 307582717 x 90465529 x 53031585 x 180931145 x 106063289 x 53215367 x 41905493 x 311951445 x 106431835 x 83812465 x 6239
Negative: -1 x -15379135-5 x -3075827-17 x -904655-29 x -530315-85 x -180931-145 x -106063-289 x -53215-367 x -41905-493 x -31195-1445 x -10643-1835 x -8381-2465 x -6239


How do I find the factor combinations of the number 15,379,135?

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 15,379,135, 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 15,379,135
-1 -15,379,135

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 15,379,135.

Example:
1 x 15,379,135 = 15,379,135
and
-1 x -15,379,135 = 15,379,135
Notice both answers equal 15,379,135

With that explanation out of the way, let's continue. Next, we take the number 15,379,135 and divide it by 2:

15,379,135 ÷ 2 = 7,689,567.5

If the quotient is a whole number, then 2 and 7,689,567.5 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 15,379,135
-1 -15,379,135

Now, we try dividing 15,379,135 by 3:

15,379,135 ÷ 3 = 5,126,378.3333

If the quotient is a whole number, then 3 and 5,126,378.3333 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 15,379,135
-1 -15,379,135

Let's try dividing by 4:

15,379,135 ÷ 4 = 3,844,783.75

If the quotient is a whole number, then 4 and 3,844,783.75 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 15,379,135
-1 15,379,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851452893674931,4451,8352,4656,2398,38110,64331,19541,90553,215106,063180,931530,315904,6553,075,82715,379,135
-1-5-17-29-85-145-289-367-493-1,445-1,835-2,465-6,239-8,381-10,643-31,195-41,905-53,215-106,063-180,931-530,315-904,655-3,075,827-15,379,135

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