Q: What are the factor combinations of the number 165,237,425?

 A:
Positive:   1 x 1652374255 x 3304748525 x 6609497107 x 1544275223 x 740975277 x 596525535 x 3088551115 x 1481951385 x 1193052675 x 617715575 x 296396925 x 23861
Negative: -1 x -165237425-5 x -33047485-25 x -6609497-107 x -1544275-223 x -740975-277 x -596525-535 x -308855-1115 x -148195-1385 x -119305-2675 x -61771-5575 x -29639-6925 x -23861


How do I find the factor combinations of the number 165,237,425?

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 165,237,425, 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.

1 165,237,425
-1 -165,237,425

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 165,237,425.

Example:
1 x 165,237,425 = 165,237,425
and
-1 x -165,237,425 = 165,237,425
Notice both answers equal 165,237,425

With that explanation out of the way, let's continue. Next, we take the number 165,237,425 and divide it by 2:

165,237,425 ÷ 2 = 82,618,712.5

If the quotient is a whole number, then 2 and 82,618,712.5 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:

1 165,237,425
-1 -165,237,425

Now, we try dividing 165,237,425 by 3:

165,237,425 ÷ 3 = 55,079,141.6667

If the quotient is a whole number, then 3 and 55,079,141.6667 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:

1 165,237,425
-1 -165,237,425

Let's try dividing by 4:

165,237,425 ÷ 4 = 41,309,356.25

If the quotient is a whole number, then 4 and 41,309,356.25 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:

1 165,237,425
-1 165,237,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251072232775351,1151,3852,6755,5756,92523,86129,63961,771119,305148,195308,855596,525740,9751,544,2756,609,49733,047,485165,237,425
-1-5-25-107-223-277-535-1,115-1,385-2,675-5,575-6,925-23,861-29,639-61,771-119,305-148,195-308,855-596,525-740,975-1,544,275-6,609,497-33,047,485-165,237,425

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