Q: What are the factor combinations of the number 162,601,021?

 A:
Positive:   1 x 16260102111 x 14781911127 x 1280323239 x 680339487 x 3338831397 x 1163932629 x 618495357 x 30353
Negative: -1 x -162601021-11 x -14781911-127 x -1280323-239 x -680339-487 x -333883-1397 x -116393-2629 x -61849-5357 x -30353


How do I find the factor combinations of the number 162,601,021?

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 162,601,021, 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.

1 162,601,021
-1 -162,601,021

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 162,601,021.

Example:
1 x 162,601,021 = 162,601,021
and
-1 x -162,601,021 = 162,601,021
Notice both answers equal 162,601,021

With that explanation out of the way, let's continue. Next, we take the number 162,601,021 and divide it by 2:

162,601,021 ÷ 2 = 81,300,510.5

If the quotient is a whole number, then 2 and 81,300,510.5 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:

1 162,601,021
-1 -162,601,021

Now, we try dividing 162,601,021 by 3:

162,601,021 ÷ 3 = 54,200,340.3333

If the quotient is a whole number, then 3 and 54,200,340.3333 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:

1 162,601,021
-1 -162,601,021

Let's try dividing by 4:

162,601,021 ÷ 4 = 40,650,255.25

If the quotient is a whole number, then 4 and 40,650,255.25 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:

1 162,601,021
-1 162,601,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1111272394871,3972,6295,35730,35361,849116,393333,883680,3391,280,32314,781,911162,601,021
-1-11-127-239-487-1,397-2,629-5,357-30,353-61,849-116,393-333,883-680,339-1,280,323-14,781,911-162,601,021

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