Q: What are the factor combinations of the number 142,975?

 A:
Positive:   1 x 1429755 x 285957 x 2042519 x 752525 x 571935 x 408543 x 332595 x 1505133 x 1075175 x 817215 x 665301 x 475
Negative: -1 x -142975-5 x -28595-7 x -20425-19 x -7525-25 x -5719-35 x -4085-43 x -3325-95 x -1505-133 x -1075-175 x -817-215 x -665-301 x -475


How do I find the factor combinations of the number 142,975?

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 142,975, 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.

1 142,975
-1 -142,975

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 142,975.

Example:
1 x 142,975 = 142,975
and
-1 x -142,975 = 142,975
Notice both answers equal 142,975

With that explanation out of the way, let's continue. Next, we take the number 142,975 and divide it by 2:

142,975 ÷ 2 = 71,487.5

If the quotient is a whole number, then 2 and 71,487.5 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:

1 142,975
-1 -142,975

Now, we try dividing 142,975 by 3:

142,975 ÷ 3 = 47,658.3333

If the quotient is a whole number, then 3 and 47,658.3333 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:

1 142,975
-1 -142,975

Let's try dividing by 4:

142,975 ÷ 4 = 35,743.75

If the quotient is a whole number, then 4 and 35,743.75 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:

1 142,975
-1 142,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15719253543951331752153014756658171,0751,5053,3254,0855,7197,52520,42528,595142,975
-1-5-7-19-25-35-43-95-133-175-215-301-475-665-817-1,075-1,505-3,325-4,085-5,719-7,525-20,425-28,595-142,975

More Examples

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