Q: What are the factor combinations of the number 24,000,145?

 A:
Positive:   1 x 240001455 x 480002913 x 184616561 x 39344565 x 369233305 x 78689793 x 302653965 x 6053
Negative: -1 x -24000145-5 x -4800029-13 x -1846165-61 x -393445-65 x -369233-305 x -78689-793 x -30265-3965 x -6053


How do I find the factor combinations of the number 24,000,145?

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 24,000,145, 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 24,000,145
-1 -24,000,145

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 24,000,145.

Example:
1 x 24,000,145 = 24,000,145
and
-1 x -24,000,145 = 24,000,145
Notice both answers equal 24,000,145

With that explanation out of the way, let's continue. Next, we take the number 24,000,145 and divide it by 2:

24,000,145 ÷ 2 = 12,000,072.5

If the quotient is a whole number, then 2 and 12,000,072.5 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 24,000,145
-1 -24,000,145

Now, we try dividing 24,000,145 by 3:

24,000,145 ÷ 3 = 8,000,048.3333

If the quotient is a whole number, then 3 and 8,000,048.3333 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 24,000,145
-1 -24,000,145

Let's try dividing by 4:

24,000,145 ÷ 4 = 6,000,036.25

If the quotient is a whole number, then 4 and 6,000,036.25 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 24,000,145
-1 24,000,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151361653057933,9656,05330,26578,689369,233393,4451,846,1654,800,02924,000,145
-1-5-13-61-65-305-793-3,965-6,053-30,265-78,689-369,233-393,445-1,846,165-4,800,029-24,000,145

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