Q: What are the factor combinations of the number 158,076?

 A:
Positive:   1 x 1580762 x 790383 x 526924 x 395196 x 263469 x 1756412 x 1317318 x 878236 x 4391
Negative: -1 x -158076-2 x -79038-3 x -52692-4 x -39519-6 x -26346-9 x -17564-12 x -13173-18 x -8782-36 x -4391


How do I find the factor combinations of the number 158,076?

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 158,076, 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.

1 158,076
-1 -158,076

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 158,076.

Example:
1 x 158,076 = 158,076
and
-1 x -158,076 = 158,076
Notice both answers equal 158,076

With that explanation out of the way, let's continue. Next, we take the number 158,076 and divide it by 2:

158,076 ÷ 2 = 79,038

If the quotient is a whole number, then 2 and 79,038 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 79,038 158,076
-1 -2 -79,038 -158,076

Now, we try dividing 158,076 by 3:

158,076 ÷ 3 = 52,692

If the quotient is a whole number, then 3 and 52,692 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 52,692 79,038 158,076
-1 -2 -3 -52,692 -79,038 -158,076

Let's try dividing by 4:

158,076 ÷ 4 = 39,519

If the quotient is a whole number, then 4 and 39,519 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 39,519 52,692 79,038 158,076
-1 -2 -3 -4 -39,519 -52,692 -79,038 158,076
Keep dividing by the next highest number until you cannot divide anymore.

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

1234691218364,3918,78213,17317,56426,34639,51952,69279,038158,076
-1-2-3-4-6-9-12-18-36-4,391-8,782-13,173-17,564-26,346-39,519-52,692-79,038-158,076

More Examples

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