Q: What are the factor combinations of the number 164,847,235?

 A:
Positive:   1 x 1648472355 x 329694477 x 2354960535 x 4709921269 x 6128151345 x 1225631883 x 875459415 x 17509
Negative: -1 x -164847235-5 x -32969447-7 x -23549605-35 x -4709921-269 x -612815-1345 x -122563-1883 x -87545-9415 x -17509


How do I find the factor combinations of the number 164,847,235?

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 164,847,235, 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.

1 164,847,235
-1 -164,847,235

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 164,847,235.

Example:
1 x 164,847,235 = 164,847,235
and
-1 x -164,847,235 = 164,847,235
Notice both answers equal 164,847,235

With that explanation out of the way, let's continue. Next, we take the number 164,847,235 and divide it by 2:

164,847,235 ÷ 2 = 82,423,617.5

If the quotient is a whole number, then 2 and 82,423,617.5 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:

1 164,847,235
-1 -164,847,235

Now, we try dividing 164,847,235 by 3:

164,847,235 ÷ 3 = 54,949,078.3333

If the quotient is a whole number, then 3 and 54,949,078.3333 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:

1 164,847,235
-1 -164,847,235

Let's try dividing by 4:

164,847,235 ÷ 4 = 41,211,808.75

If the quotient is a whole number, then 4 and 41,211,808.75 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:

1 164,847,235
-1 164,847,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157352691,3451,8839,41517,50987,545122,563612,8154,709,92123,549,60532,969,447164,847,235
-1-5-7-35-269-1,345-1,883-9,415-17,509-87,545-122,563-612,815-4,709,921-23,549,605-32,969,447-164,847,235

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