Q: What are the factor combinations of the number 161,311,003?

 A:
Positive:   1 x 1613110037 x 2304442947 x 3432149113 x 1427531329 x 490307791 x 2039334339 x 371775311 x 30373
Negative: -1 x -161311003-7 x -23044429-47 x -3432149-113 x -1427531-329 x -490307-791 x -203933-4339 x -37177-5311 x -30373


How do I find the factor combinations of the number 161,311,003?

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 161,311,003, 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.

1 161,311,003
-1 -161,311,003

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 161,311,003.

Example:
1 x 161,311,003 = 161,311,003
and
-1 x -161,311,003 = 161,311,003
Notice both answers equal 161,311,003

With that explanation out of the way, let's continue. Next, we take the number 161,311,003 and divide it by 2:

161,311,003 ÷ 2 = 80,655,501.5

If the quotient is a whole number, then 2 and 80,655,501.5 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:

1 161,311,003
-1 -161,311,003

Now, we try dividing 161,311,003 by 3:

161,311,003 ÷ 3 = 53,770,334.3333

If the quotient is a whole number, then 3 and 53,770,334.3333 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:

1 161,311,003
-1 -161,311,003

Let's try dividing by 4:

161,311,003 ÷ 4 = 40,327,750.75

If the quotient is a whole number, then 4 and 40,327,750.75 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:

1 161,311,003
-1 161,311,003
Keep dividing by the next highest number until you cannot divide anymore.

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

17471133297914,3395,31130,37337,177203,933490,3071,427,5313,432,14923,044,429161,311,003
-1-7-47-113-329-791-4,339-5,311-30,373-37,177-203,933-490,307-1,427,531-3,432,149-23,044,429-161,311,003

More Examples

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