Q: What are the factor combinations of the number 59,675?

 A:
Positive:   1 x 596755 x 119357 x 852511 x 542525 x 238731 x 192535 x 170555 x 108577 x 775155 x 385175 x 341217 x 275
Negative: -1 x -59675-5 x -11935-7 x -8525-11 x -5425-25 x -2387-31 x -1925-35 x -1705-55 x -1085-77 x -775-155 x -385-175 x -341-217 x -275


How do I find the factor combinations of the number 59,675?

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 59,675, 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 59,675
-1 -59,675

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 59,675.

Example:
1 x 59,675 = 59,675
and
-1 x -59,675 = 59,675
Notice both answers equal 59,675

With that explanation out of the way, let's continue. Next, we take the number 59,675 and divide it by 2:

59,675 ÷ 2 = 29,837.5

If the quotient is a whole number, then 2 and 29,837.5 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 59,675
-1 -59,675

Now, we try dividing 59,675 by 3:

59,675 ÷ 3 = 19,891.6667

If the quotient is a whole number, then 3 and 19,891.6667 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 59,675
-1 -59,675

Let's try dividing by 4:

59,675 ÷ 4 = 14,918.75

If the quotient is a whole number, then 4 and 14,918.75 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 59,675
-1 59,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1571125313555771551752172753413857751,0851,7051,9252,3875,4258,52511,93559,675
-1-5-7-11-25-31-35-55-77-155-175-217-275-341-385-775-1,085-1,705-1,925-2,387-5,425-8,525-11,935-59,675

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