Q: What are the factor combinations of the number 142,433,225?

 A:
Positive:   1 x 1424332255 x 2848664511 x 1294847517 x 837842525 x 569732955 x 258969585 x 1675685187 x 761675275 x 517939425 x 335137935 x 1523354675 x 30467
Negative: -1 x -142433225-5 x -28486645-11 x -12948475-17 x -8378425-25 x -5697329-55 x -2589695-85 x -1675685-187 x -761675-275 x -517939-425 x -335137-935 x -152335-4675 x -30467


How do I find the factor combinations of the number 142,433,225?

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 142,433,225, 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.

1 142,433,225
-1 -142,433,225

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 142,433,225.

Example:
1 x 142,433,225 = 142,433,225
and
-1 x -142,433,225 = 142,433,225
Notice both answers equal 142,433,225

With that explanation out of the way, let's continue. Next, we take the number 142,433,225 and divide it by 2:

142,433,225 ÷ 2 = 71,216,612.5

If the quotient is a whole number, then 2 and 71,216,612.5 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:

1 142,433,225
-1 -142,433,225

Now, we try dividing 142,433,225 by 3:

142,433,225 ÷ 3 = 47,477,741.6667

If the quotient is a whole number, then 3 and 47,477,741.6667 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:

1 142,433,225
-1 -142,433,225

Let's try dividing by 4:

142,433,225 ÷ 4 = 35,608,306.25

If the quotient is a whole number, then 4 and 35,608,306.25 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:

1 142,433,225
-1 142,433,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259354,67530,467152,335335,137517,939761,6751,675,6852,589,6955,697,3298,378,42512,948,47528,486,645142,433,225
-1-5-11-17-25-55-85-187-275-425-935-4,675-30,467-152,335-335,137-517,939-761,675-1,675,685-2,589,695-5,697,329-8,378,425-12,948,475-28,486,645-142,433,225

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