Q: What are the factor combinations of the number 162,113,387?

 A:
Positive:   1 x 16211338747 x 3449221641 x 2529075381 x 30127
Negative: -1 x -162113387-47 x -3449221-641 x -252907-5381 x -30127


How do I find the factor combinations of the number 162,113,387?

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 162,113,387, 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.

1 162,113,387
-1 -162,113,387

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 162,113,387.

Example:
1 x 162,113,387 = 162,113,387
and
-1 x -162,113,387 = 162,113,387
Notice both answers equal 162,113,387

With that explanation out of the way, let's continue. Next, we take the number 162,113,387 and divide it by 2:

162,113,387 ÷ 2 = 81,056,693.5

If the quotient is a whole number, then 2 and 81,056,693.5 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:

1 162,113,387
-1 -162,113,387

Now, we try dividing 162,113,387 by 3:

162,113,387 ÷ 3 = 54,037,795.6667

If the quotient is a whole number, then 3 and 54,037,795.6667 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:

1 162,113,387
-1 -162,113,387

Let's try dividing by 4:

162,113,387 ÷ 4 = 40,528,346.75

If the quotient is a whole number, then 4 and 40,528,346.75 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:

1 162,113,387
-1 162,113,387
Keep dividing by the next highest number until you cannot divide anymore.

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

1476415,38130,127252,9073,449,221162,113,387
-1-47-641-5,381-30,127-252,907-3,449,221-162,113,387

More Examples

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