Q: What are the factor combinations of the number 302,578,003?

 A:
Positive:   1 x 3025780037 x 4322542913 x 2327523191 x 3325033
Negative: -1 x -302578003-7 x -43225429-13 x -23275231-91 x -3325033


How do I find the factor combinations of the number 302,578,003?

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 302,578,003, 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.

1 302,578,003
-1 -302,578,003

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 302,578,003.

Example:
1 x 302,578,003 = 302,578,003
and
-1 x -302,578,003 = 302,578,003
Notice both answers equal 302,578,003

With that explanation out of the way, let's continue. Next, we take the number 302,578,003 and divide it by 2:

302,578,003 ÷ 2 = 151,289,001.5

If the quotient is a whole number, then 2 and 151,289,001.5 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:

1 302,578,003
-1 -302,578,003

Now, we try dividing 302,578,003 by 3:

302,578,003 ÷ 3 = 100,859,334.3333

If the quotient is a whole number, then 3 and 100,859,334.3333 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:

1 302,578,003
-1 -302,578,003

Let's try dividing by 4:

302,578,003 ÷ 4 = 75,644,500.75

If the quotient is a whole number, then 4 and 75,644,500.75 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:

1 302,578,003
-1 302,578,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913,325,03323,275,23143,225,429302,578,003
-1-7-13-91-3,325,033-23,275,231-43,225,429-302,578,003

More Examples

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