Q: What are the factor combinations of the number 164,362,325?

 A:
Positive:   1 x 1643623255 x 3287246525 x 657449337 x 4442225137 x 1199725185 x 888445685 x 239945925 x 1776891297 x 1267253425 x 479895069 x 324256485 x 25345
Negative: -1 x -164362325-5 x -32872465-25 x -6574493-37 x -4442225-137 x -1199725-185 x -888445-685 x -239945-925 x -177689-1297 x -126725-3425 x -47989-5069 x -32425-6485 x -25345


How do I find the factor combinations of the number 164,362,325?

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 164,362,325, 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.

1 164,362,325
-1 -164,362,325

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 164,362,325.

Example:
1 x 164,362,325 = 164,362,325
and
-1 x -164,362,325 = 164,362,325
Notice both answers equal 164,362,325

With that explanation out of the way, let's continue. Next, we take the number 164,362,325 and divide it by 2:

164,362,325 ÷ 2 = 82,181,162.5

If the quotient is a whole number, then 2 and 82,181,162.5 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:

1 164,362,325
-1 -164,362,325

Now, we try dividing 164,362,325 by 3:

164,362,325 ÷ 3 = 54,787,441.6667

If the quotient is a whole number, then 3 and 54,787,441.6667 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:

1 164,362,325
-1 -164,362,325

Let's try dividing by 4:

164,362,325 ÷ 4 = 41,090,581.25

If the quotient is a whole number, then 4 and 41,090,581.25 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:

1 164,362,325
-1 164,362,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371371856859251,2973,4255,0696,48525,34532,42547,989126,725177,689239,945888,4451,199,7254,442,2256,574,49332,872,465164,362,325
-1-5-25-37-137-185-685-925-1,297-3,425-5,069-6,485-25,345-32,425-47,989-126,725-177,689-239,945-888,445-1,199,725-4,442,225-6,574,493-32,872,465-164,362,325

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