Q: What are the factor combinations of the number 145,223,035?

 A:
Positive:   1 x 1452230355 x 2904460723 x 6314045115 x 1262809563 x 2579452243 x 647452815 x 5158911215 x 12949
Negative: -1 x -145223035-5 x -29044607-23 x -6314045-115 x -1262809-563 x -257945-2243 x -64745-2815 x -51589-11215 x -12949


How do I find the factor combinations of the number 145,223,035?

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 145,223,035, 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.

1 145,223,035
-1 -145,223,035

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 145,223,035.

Example:
1 x 145,223,035 = 145,223,035
and
-1 x -145,223,035 = 145,223,035
Notice both answers equal 145,223,035

With that explanation out of the way, let's continue. Next, we take the number 145,223,035 and divide it by 2:

145,223,035 ÷ 2 = 72,611,517.5

If the quotient is a whole number, then 2 and 72,611,517.5 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:

1 145,223,035
-1 -145,223,035

Now, we try dividing 145,223,035 by 3:

145,223,035 ÷ 3 = 48,407,678.3333

If the quotient is a whole number, then 3 and 48,407,678.3333 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:

1 145,223,035
-1 -145,223,035

Let's try dividing by 4:

145,223,035 ÷ 4 = 36,305,758.75

If the quotient is a whole number, then 4 and 36,305,758.75 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:

1 145,223,035
-1 145,223,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15231155632,2432,81511,21512,94951,58964,745257,9451,262,8096,314,04529,044,607145,223,035
-1-5-23-115-563-2,243-2,815-11,215-12,949-51,589-64,745-257,945-1,262,809-6,314,045-29,044,607-145,223,035

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