Q: What are the factor combinations of the number 79,548?

 A:
Positive:   1 x 795482 x 397743 x 265164 x 198876 x 132587 x 1136412 x 662914 x 568221 x 378828 x 284142 x 189484 x 947
Negative: -1 x -79548-2 x -39774-3 x -26516-4 x -19887-6 x -13258-7 x -11364-12 x -6629-14 x -5682-21 x -3788-28 x -2841-42 x -1894-84 x -947


How do I find the factor combinations of the number 79,548?

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 79,548, 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 79,548
-1 -79,548

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 79,548.

Example:
1 x 79,548 = 79,548
and
-1 x -79,548 = 79,548
Notice both answers equal 79,548

With that explanation out of the way, let's continue. Next, we take the number 79,548 and divide it by 2:

79,548 ÷ 2 = 39,774

If the quotient is a whole number, then 2 and 39,774 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 39,774 79,548
-1 -2 -39,774 -79,548

Now, we try dividing 79,548 by 3:

79,548 ÷ 3 = 26,516

If the quotient is a whole number, then 3 and 26,516 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 26,516 39,774 79,548
-1 -2 -3 -26,516 -39,774 -79,548

Let's try dividing by 4:

79,548 ÷ 4 = 19,887

If the quotient is a whole number, then 4 and 19,887 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 19,887 26,516 39,774 79,548
-1 -2 -3 -4 -19,887 -26,516 -39,774 79,548
Keep dividing by the next highest number until you cannot divide anymore.

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

1234671214212842849471,8942,8413,7885,6826,62911,36413,25819,88726,51639,77479,548
-1-2-3-4-6-7-12-14-21-28-42-84-947-1,894-2,841-3,788-5,682-6,629-11,364-13,258-19,887-26,516-39,774-79,548

More Examples

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