Q: What are the factor combinations of the number 164,255,465?

 A:
Positive:   1 x 1642554655 x 3285109311 x 1493231555 x 2986463137 x 1198945685 x 2397891507 x 1089957535 x 21799
Negative: -1 x -164255465-5 x -32851093-11 x -14932315-55 x -2986463-137 x -1198945-685 x -239789-1507 x -108995-7535 x -21799


How do I find the factor combinations of the number 164,255,465?

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 164,255,465, 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.

1 164,255,465
-1 -164,255,465

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 164,255,465.

Example:
1 x 164,255,465 = 164,255,465
and
-1 x -164,255,465 = 164,255,465
Notice both answers equal 164,255,465

With that explanation out of the way, let's continue. Next, we take the number 164,255,465 and divide it by 2:

164,255,465 ÷ 2 = 82,127,732.5

If the quotient is a whole number, then 2 and 82,127,732.5 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:

1 164,255,465
-1 -164,255,465

Now, we try dividing 164,255,465 by 3:

164,255,465 ÷ 3 = 54,751,821.6667

If the quotient is a whole number, then 3 and 54,751,821.6667 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:

1 164,255,465
-1 -164,255,465

Let's try dividing by 4:

164,255,465 ÷ 4 = 41,063,866.25

If the quotient is a whole number, then 4 and 41,063,866.25 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:

1 164,255,465
-1 164,255,465
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551376851,5077,53521,799108,995239,7891,198,9452,986,46314,932,31532,851,093164,255,465
-1-5-11-55-137-685-1,507-7,535-21,799-108,995-239,789-1,198,945-2,986,463-14,932,315-32,851,093-164,255,465

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