Q: What are the factor combinations of the number 146,307,163?

 A:
Positive:   1 x 14630716319 x 770037723 x 636118167 x 2183689263 x 556301361 x 405283437 x 3347991273 x 1149311541 x 949434997 x 292796049 x 241878303 x 17621
Negative: -1 x -146307163-19 x -7700377-23 x -6361181-67 x -2183689-263 x -556301-361 x -405283-437 x -334799-1273 x -114931-1541 x -94943-4997 x -29279-6049 x -24187-8303 x -17621


How do I find the factor combinations of the number 146,307,163?

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 146,307,163, 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.

1 146,307,163
-1 -146,307,163

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 146,307,163.

Example:
1 x 146,307,163 = 146,307,163
and
-1 x -146,307,163 = 146,307,163
Notice both answers equal 146,307,163

With that explanation out of the way, let's continue. Next, we take the number 146,307,163 and divide it by 2:

146,307,163 ÷ 2 = 73,153,581.5

If the quotient is a whole number, then 2 and 73,153,581.5 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:

1 146,307,163
-1 -146,307,163

Now, we try dividing 146,307,163 by 3:

146,307,163 ÷ 3 = 48,769,054.3333

If the quotient is a whole number, then 3 and 48,769,054.3333 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:

1 146,307,163
-1 -146,307,163

Let's try dividing by 4:

146,307,163 ÷ 4 = 36,576,790.75

If the quotient is a whole number, then 4 and 36,576,790.75 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:

1 146,307,163
-1 146,307,163
Keep dividing by the next highest number until you cannot divide anymore.

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

11923672633614371,2731,5414,9976,0498,30317,62124,18729,27994,943114,931334,799405,283556,3012,183,6896,361,1817,700,377146,307,163
-1-19-23-67-263-361-437-1,273-1,541-4,997-6,049-8,303-17,621-24,187-29,279-94,943-114,931-334,799-405,283-556,301-2,183,689-6,361,181-7,700,377-146,307,163

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