Q: What are the factor combinations of the number 165,456,403?

 A:
Positive:   1 x 1654564037 x 2363662947 x 3520349329 x 502907631 x 262213797 x 2075994417 x 374595579 x 29657
Negative: -1 x -165456403-7 x -23636629-47 x -3520349-329 x -502907-631 x -262213-797 x -207599-4417 x -37459-5579 x -29657


How do I find the factor combinations of the number 165,456,403?

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 165,456,403, 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.

1 165,456,403
-1 -165,456,403

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 165,456,403.

Example:
1 x 165,456,403 = 165,456,403
and
-1 x -165,456,403 = 165,456,403
Notice both answers equal 165,456,403

With that explanation out of the way, let's continue. Next, we take the number 165,456,403 and divide it by 2:

165,456,403 ÷ 2 = 82,728,201.5

If the quotient is a whole number, then 2 and 82,728,201.5 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:

1 165,456,403
-1 -165,456,403

Now, we try dividing 165,456,403 by 3:

165,456,403 ÷ 3 = 55,152,134.3333

If the quotient is a whole number, then 3 and 55,152,134.3333 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:

1 165,456,403
-1 -165,456,403

Let's try dividing by 4:

165,456,403 ÷ 4 = 41,364,100.75

If the quotient is a whole number, then 4 and 41,364,100.75 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:

1 165,456,403
-1 165,456,403
Keep dividing by the next highest number until you cannot divide anymore.

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

17473296317974,4175,57929,65737,459207,599262,213502,9073,520,34923,636,629165,456,403
-1-7-47-329-631-797-4,417-5,579-29,657-37,459-207,599-262,213-502,907-3,520,349-23,636,629-165,456,403

More Examples

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