Q: What are the factor combinations of the number 162,002,141?

 A:
Positive:   1 x 1620021417 x 2314316359 x 2745799223 x 726467413 x 3922571561 x 1037811759 x 9209912313 x 13157
Negative: -1 x -162002141-7 x -23143163-59 x -2745799-223 x -726467-413 x -392257-1561 x -103781-1759 x -92099-12313 x -13157


How do I find the factor combinations of the number 162,002,141?

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 162,002,141, 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.

1 162,002,141
-1 -162,002,141

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 162,002,141.

Example:
1 x 162,002,141 = 162,002,141
and
-1 x -162,002,141 = 162,002,141
Notice both answers equal 162,002,141

With that explanation out of the way, let's continue. Next, we take the number 162,002,141 and divide it by 2:

162,002,141 ÷ 2 = 81,001,070.5

If the quotient is a whole number, then 2 and 81,001,070.5 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:

1 162,002,141
-1 -162,002,141

Now, we try dividing 162,002,141 by 3:

162,002,141 ÷ 3 = 54,000,713.6667

If the quotient is a whole number, then 3 and 54,000,713.6667 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:

1 162,002,141
-1 -162,002,141

Let's try dividing by 4:

162,002,141 ÷ 4 = 40,500,535.25

If the quotient is a whole number, then 4 and 40,500,535.25 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:

1 162,002,141
-1 162,002,141
Keep dividing by the next highest number until you cannot divide anymore.

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

17592234131,5611,75912,31313,15792,099103,781392,257726,4672,745,79923,143,163162,002,141
-1-7-59-223-413-1,561-1,759-12,313-13,157-92,099-103,781-392,257-726,467-2,745,799-23,143,163-162,002,141

More Examples

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