Q: What are the factor combinations of the number 79,475?

 A:
Positive:   1 x 794755 x 1589511 x 722517 x 467525 x 317955 x 144585 x 935187 x 425275 x 289
Negative: -1 x -79475-5 x -15895-11 x -7225-17 x -4675-25 x -3179-55 x -1445-85 x -935-187 x -425-275 x -289


How do I find the factor combinations of the number 79,475?

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 79,475, 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 79,475
-1 -79,475

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 79,475.

Example:
1 x 79,475 = 79,475
and
-1 x -79,475 = 79,475
Notice both answers equal 79,475

With that explanation out of the way, let's continue. Next, we take the number 79,475 and divide it by 2:

79,475 ÷ 2 = 39,737.5

If the quotient is a whole number, then 2 and 39,737.5 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 79,475
-1 -79,475

Now, we try dividing 79,475 by 3:

79,475 ÷ 3 = 26,491.6667

If the quotient is a whole number, then 3 and 26,491.6667 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 79,475
-1 -79,475

Let's try dividing by 4:

79,475 ÷ 4 = 19,868.75

If the quotient is a whole number, then 4 and 19,868.75 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 79,475
-1 79,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872752894259351,4453,1794,6757,22515,89579,475
-1-5-11-17-25-55-85-187-275-289-425-935-1,445-3,179-4,675-7,225-15,895-79,475

More Examples

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