Q: What are the factor combinations of the number 230,320,145?

 A:
Positive:   1 x 2303201455 x 4606402911 x 2093819555 x 4187639353 x 6524651765 x 1304933883 x 5931511863 x 19415
Negative: -1 x -230320145-5 x -46064029-11 x -20938195-55 x -4187639-353 x -652465-1765 x -130493-3883 x -59315-11863 x -19415


How do I find the factor combinations of the number 230,320,145?

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 230,320,145, 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.

1 230,320,145
-1 -230,320,145

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 230,320,145.

Example:
1 x 230,320,145 = 230,320,145
and
-1 x -230,320,145 = 230,320,145
Notice both answers equal 230,320,145

With that explanation out of the way, let's continue. Next, we take the number 230,320,145 and divide it by 2:

230,320,145 ÷ 2 = 115,160,072.5

If the quotient is a whole number, then 2 and 115,160,072.5 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:

1 230,320,145
-1 -230,320,145

Now, we try dividing 230,320,145 by 3:

230,320,145 ÷ 3 = 76,773,381.6667

If the quotient is a whole number, then 3 and 76,773,381.6667 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:

1 230,320,145
-1 -230,320,145

Let's try dividing by 4:

230,320,145 ÷ 4 = 57,580,036.25

If the quotient is a whole number, then 4 and 57,580,036.25 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:

1 230,320,145
-1 230,320,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553531,7653,88311,86319,41559,315130,493652,4654,187,63920,938,19546,064,029230,320,145
-1-5-11-55-353-1,765-3,883-11,863-19,415-59,315-130,493-652,465-4,187,639-20,938,195-46,064,029-230,320,145

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