Q: What are the factor combinations of the number 241,432,225?

 A:
Positive:   1 x 2414322255 x 4828644525 x 965728953 x 4555325257 x 939425265 x 911065709 x 3405251285 x 1878851325 x 1822133545 x 681056425 x 3757713621 x 17725
Negative: -1 x -241432225-5 x -48286445-25 x -9657289-53 x -4555325-257 x -939425-265 x -911065-709 x -340525-1285 x -187885-1325 x -182213-3545 x -68105-6425 x -37577-13621 x -17725


How do I find the factor combinations of the number 241,432,225?

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 241,432,225, 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.

1 241,432,225
-1 -241,432,225

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 241,432,225.

Example:
1 x 241,432,225 = 241,432,225
and
-1 x -241,432,225 = 241,432,225
Notice both answers equal 241,432,225

With that explanation out of the way, let's continue. Next, we take the number 241,432,225 and divide it by 2:

241,432,225 ÷ 2 = 120,716,112.5

If the quotient is a whole number, then 2 and 120,716,112.5 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:

1 241,432,225
-1 -241,432,225

Now, we try dividing 241,432,225 by 3:

241,432,225 ÷ 3 = 80,477,408.3333

If the quotient is a whole number, then 3 and 80,477,408.3333 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:

1 241,432,225
-1 -241,432,225

Let's try dividing by 4:

241,432,225 ÷ 4 = 60,358,056.25

If the quotient is a whole number, then 4 and 60,358,056.25 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:

1 241,432,225
-1 241,432,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525532572657091,2851,3253,5456,42513,62117,72537,57768,105182,213187,885340,525911,065939,4254,555,3259,657,28948,286,445241,432,225
-1-5-25-53-257-265-709-1,285-1,325-3,545-6,425-13,621-17,725-37,577-68,105-182,213-187,885-340,525-911,065-939,425-4,555,325-9,657,289-48,286,445-241,432,225

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