Q: What are the factor combinations of the number 142,170,325?

 A:
Positive:   1 x 1421703255 x 2843406511 x 1292457525 x 568681329 x 490242555 x 2584915145 x 980485275 x 516983319 x 445675725 x 1960971595 x 891357975 x 17827
Negative: -1 x -142170325-5 x -28434065-11 x -12924575-25 x -5686813-29 x -4902425-55 x -2584915-145 x -980485-275 x -516983-319 x -445675-725 x -196097-1595 x -89135-7975 x -17827


How do I find the factor combinations of the number 142,170,325?

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 142,170,325, 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.

1 142,170,325
-1 -142,170,325

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 142,170,325.

Example:
1 x 142,170,325 = 142,170,325
and
-1 x -142,170,325 = 142,170,325
Notice both answers equal 142,170,325

With that explanation out of the way, let's continue. Next, we take the number 142,170,325 and divide it by 2:

142,170,325 ÷ 2 = 71,085,162.5

If the quotient is a whole number, then 2 and 71,085,162.5 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:

1 142,170,325
-1 -142,170,325

Now, we try dividing 142,170,325 by 3:

142,170,325 ÷ 3 = 47,390,108.3333

If the quotient is a whole number, then 3 and 47,390,108.3333 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:

1 142,170,325
-1 -142,170,325

Let's try dividing by 4:

142,170,325 ÷ 4 = 35,542,581.25

If the quotient is a whole number, then 4 and 35,542,581.25 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:

1 142,170,325
-1 142,170,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551452753197251,5957,97517,82789,135196,097445,675516,983980,4852,584,9154,902,4255,686,81312,924,57528,434,065142,170,325
-1-5-11-25-29-55-145-275-319-725-1,595-7,975-17,827-89,135-196,097-445,675-516,983-980,485-2,584,915-4,902,425-5,686,813-12,924,575-28,434,065-142,170,325

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