Q: What are the factor combinations of the number 265,004,465?

 A:
Positive:   1 x 2650044655 x 5300089311 x 2409131529 x 913808555 x 4818263145 x 1827617319 x 8307351595 x 166147
Negative: -1 x -265004465-5 x -53000893-11 x -24091315-29 x -9138085-55 x -4818263-145 x -1827617-319 x -830735-1595 x -166147


How do I find the factor combinations of the number 265,004,465?

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 265,004,465, 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.

1 265,004,465
-1 -265,004,465

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 265,004,465.

Example:
1 x 265,004,465 = 265,004,465
and
-1 x -265,004,465 = 265,004,465
Notice both answers equal 265,004,465

With that explanation out of the way, let's continue. Next, we take the number 265,004,465 and divide it by 2:

265,004,465 ÷ 2 = 132,502,232.5

If the quotient is a whole number, then 2 and 132,502,232.5 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:

1 265,004,465
-1 -265,004,465

Now, we try dividing 265,004,465 by 3:

265,004,465 ÷ 3 = 88,334,821.6667

If the quotient is a whole number, then 3 and 88,334,821.6667 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:

1 265,004,465
-1 -265,004,465

Let's try dividing by 4:

265,004,465 ÷ 4 = 66,251,116.25

If the quotient is a whole number, then 4 and 66,251,116.25 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:

1 265,004,465
-1 265,004,465
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,595166,147830,7351,827,6174,818,2639,138,08524,091,31553,000,893265,004,465
-1-5-11-29-55-145-319-1,595-166,147-830,735-1,827,617-4,818,263-9,138,085-24,091,315-53,000,893-265,004,465

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