Q: What are the factor combinations of the number 265,572,725?

 A:
Positive:   1 x 2655727255 x 5311454511 x 2414297517 x 1562192525 x 1062290955 x 482859585 x 3124385187 x 1420175275 x 965719425 x 624877935 x 2840354675 x 56807
Negative: -1 x -265572725-5 x -53114545-11 x -24142975-17 x -15621925-25 x -10622909-55 x -4828595-85 x -3124385-187 x -1420175-275 x -965719-425 x -624877-935 x -284035-4675 x -56807


How do I find the factor combinations of the number 265,572,725?

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 265,572,725, 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.

1 265,572,725
-1 -265,572,725

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 265,572,725.

Example:
1 x 265,572,725 = 265,572,725
and
-1 x -265,572,725 = 265,572,725
Notice both answers equal 265,572,725

With that explanation out of the way, let's continue. Next, we take the number 265,572,725 and divide it by 2:

265,572,725 ÷ 2 = 132,786,362.5

If the quotient is a whole number, then 2 and 132,786,362.5 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:

1 265,572,725
-1 -265,572,725

Now, we try dividing 265,572,725 by 3:

265,572,725 ÷ 3 = 88,524,241.6667

If the quotient is a whole number, then 3 and 88,524,241.6667 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:

1 265,572,725
-1 -265,572,725

Let's try dividing by 4:

265,572,725 ÷ 4 = 66,393,181.25

If the quotient is a whole number, then 4 and 66,393,181.25 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:

1 265,572,725
-1 265,572,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259354,67556,807284,035624,877965,7191,420,1753,124,3854,828,59510,622,90915,621,92524,142,97553,114,545265,572,725
-1-5-11-17-25-55-85-187-275-425-935-4,675-56,807-284,035-624,877-965,719-1,420,175-3,124,385-4,828,595-10,622,909-15,621,925-24,142,975-53,114,545-265,572,725

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