Q: What are the factor combinations of the number 145,302,443?

 A:
Positive:   1 x 14530244311 x 1320931313 x 1117711119 x 7647497143 x 1016101209 x 695227247 x 5882692717 x 53479
Negative: -1 x -145302443-11 x -13209313-13 x -11177111-19 x -7647497-143 x -1016101-209 x -695227-247 x -588269-2717 x -53479


How do I find the factor combinations of the number 145,302,443?

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 145,302,443, 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.

1 145,302,443
-1 -145,302,443

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 145,302,443.

Example:
1 x 145,302,443 = 145,302,443
and
-1 x -145,302,443 = 145,302,443
Notice both answers equal 145,302,443

With that explanation out of the way, let's continue. Next, we take the number 145,302,443 and divide it by 2:

145,302,443 ÷ 2 = 72,651,221.5

If the quotient is a whole number, then 2 and 72,651,221.5 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:

1 145,302,443
-1 -145,302,443

Now, we try dividing 145,302,443 by 3:

145,302,443 ÷ 3 = 48,434,147.6667

If the quotient is a whole number, then 3 and 48,434,147.6667 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:

1 145,302,443
-1 -145,302,443

Let's try dividing by 4:

145,302,443 ÷ 4 = 36,325,610.75

If the quotient is a whole number, then 4 and 36,325,610.75 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:

1 145,302,443
-1 145,302,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092472,71753,479588,269695,2271,016,1017,647,49711,177,11113,209,313145,302,443
-1-11-13-19-143-209-247-2,717-53,479-588,269-695,227-1,016,101-7,647,497-11,177,111-13,209,313-145,302,443

More Examples

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