Q: What are the factor combinations of the number 142,234,225?

 A:
Positive:   1 x 1422342255 x 284468457 x 2031917525 x 568936935 x 4063835175 x 812767373 x 3813251865 x 762652179 x 652752611 x 544759325 x 1525310895 x 13055
Negative: -1 x -142234225-5 x -28446845-7 x -20319175-25 x -5689369-35 x -4063835-175 x -812767-373 x -381325-1865 x -76265-2179 x -65275-2611 x -54475-9325 x -15253-10895 x -13055


How do I find the factor combinations of the number 142,234,225?

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 142,234,225, 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.

1 142,234,225
-1 -142,234,225

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 142,234,225.

Example:
1 x 142,234,225 = 142,234,225
and
-1 x -142,234,225 = 142,234,225
Notice both answers equal 142,234,225

With that explanation out of the way, let's continue. Next, we take the number 142,234,225 and divide it by 2:

142,234,225 ÷ 2 = 71,117,112.5

If the quotient is a whole number, then 2 and 71,117,112.5 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:

1 142,234,225
-1 -142,234,225

Now, we try dividing 142,234,225 by 3:

142,234,225 ÷ 3 = 47,411,408.3333

If the quotient is a whole number, then 3 and 47,411,408.3333 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:

1 142,234,225
-1 -142,234,225

Let's try dividing by 4:

142,234,225 ÷ 4 = 35,558,556.25

If the quotient is a whole number, then 4 and 35,558,556.25 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:

1 142,234,225
-1 142,234,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753731,8652,1792,6119,32510,89513,05515,25354,47565,27576,265381,325812,7674,063,8355,689,36920,319,17528,446,845142,234,225
-1-5-7-25-35-175-373-1,865-2,179-2,611-9,325-10,895-13,055-15,253-54,475-65,275-76,265-381,325-812,767-4,063,835-5,689,369-20,319,175-28,446,845-142,234,225

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