Q: What are the factor combinations of the number 151,655?

 A:
Positive:   1 x 1516555 x 303317 x 2166535 x 433349 x 3095245 x 619
Negative: -1 x -151655-5 x -30331-7 x -21665-35 x -4333-49 x -3095-245 x -619


How do I find the factor combinations of the number 151,655?

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 151,655, 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.

1 151,655
-1 -151,655

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 151,655.

Example:
1 x 151,655 = 151,655
and
-1 x -151,655 = 151,655
Notice both answers equal 151,655

With that explanation out of the way, let's continue. Next, we take the number 151,655 and divide it by 2:

151,655 ÷ 2 = 75,827.5

If the quotient is a whole number, then 2 and 75,827.5 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:

1 151,655
-1 -151,655

Now, we try dividing 151,655 by 3:

151,655 ÷ 3 = 50,551.6667

If the quotient is a whole number, then 3 and 50,551.6667 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:

1 151,655
-1 -151,655

Let's try dividing by 4:

151,655 ÷ 4 = 37,913.75

If the quotient is a whole number, then 4 and 37,913.75 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:

1 151,655
-1 151,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492456193,0954,33321,66530,331151,655
-1-5-7-35-49-245-619-3,095-4,333-21,665-30,331-151,655

More Examples

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