Q: What are the factor combinations of the number 162,503,459?

 A:
Positive:   1 x 16250345917 x 955902741 x 396349953 x 306610383 x 1957873697 x 233147901 x 1803591411 x 1151692173 x 747832809 x 578513403 x 477534399 x 36941
Negative: -1 x -162503459-17 x -9559027-41 x -3963499-53 x -3066103-83 x -1957873-697 x -233147-901 x -180359-1411 x -115169-2173 x -74783-2809 x -57851-3403 x -47753-4399 x -36941


How do I find the factor combinations of the number 162,503,459?

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 162,503,459, 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.

1 162,503,459
-1 -162,503,459

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 162,503,459.

Example:
1 x 162,503,459 = 162,503,459
and
-1 x -162,503,459 = 162,503,459
Notice both answers equal 162,503,459

With that explanation out of the way, let's continue. Next, we take the number 162,503,459 and divide it by 2:

162,503,459 ÷ 2 = 81,251,729.5

If the quotient is a whole number, then 2 and 81,251,729.5 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:

1 162,503,459
-1 -162,503,459

Now, we try dividing 162,503,459 by 3:

162,503,459 ÷ 3 = 54,167,819.6667

If the quotient is a whole number, then 3 and 54,167,819.6667 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:

1 162,503,459
-1 -162,503,459

Let's try dividing by 4:

162,503,459 ÷ 4 = 40,625,864.75

If the quotient is a whole number, then 4 and 40,625,864.75 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:

1 162,503,459
-1 162,503,459
Keep dividing by the next highest number until you cannot divide anymore.

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

1174153836979011,4112,1732,8093,4034,39936,94147,75357,85174,783115,169180,359233,1471,957,8733,066,1033,963,4999,559,027162,503,459
-1-17-41-53-83-697-901-1,411-2,173-2,809-3,403-4,399-36,941-47,753-57,851-74,783-115,169-180,359-233,147-1,957,873-3,066,103-3,963,499-9,559,027-162,503,459

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