Q: What are the factor combinations of the number 265,157,165?

 A:
Positive:   1 x 2651571655 x 530314337 x 3787959513 x 2039670535 x 757591965 x 407934191 x 2913815455 x 582763
Negative: -1 x -265157165-5 x -53031433-7 x -37879595-13 x -20396705-35 x -7575919-65 x -4079341-91 x -2913815-455 x -582763


How do I find the factor combinations of the number 265,157,165?

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 265,157,165, 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.

1 265,157,165
-1 -265,157,165

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 265,157,165.

Example:
1 x 265,157,165 = 265,157,165
and
-1 x -265,157,165 = 265,157,165
Notice both answers equal 265,157,165

With that explanation out of the way, let's continue. Next, we take the number 265,157,165 and divide it by 2:

265,157,165 ÷ 2 = 132,578,582.5

If the quotient is a whole number, then 2 and 132,578,582.5 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:

1 265,157,165
-1 -265,157,165

Now, we try dividing 265,157,165 by 3:

265,157,165 ÷ 3 = 88,385,721.6667

If the quotient is a whole number, then 3 and 88,385,721.6667 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:

1 265,157,165
-1 -265,157,165

Let's try dividing by 4:

265,157,165 ÷ 4 = 66,289,291.25

If the quotient is a whole number, then 4 and 66,289,291.25 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:

1 265,157,165
-1 265,157,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455582,7632,913,8154,079,3417,575,91920,396,70537,879,59553,031,433265,157,165
-1-5-7-13-35-65-91-455-582,763-2,913,815-4,079,341-7,575,919-20,396,705-37,879,595-53,031,433-265,157,165

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