Q: What are the factor combinations of the number 142,333,015?

 A:
Positive:   1 x 1423330155 x 2846660311 x 1293936529 x 490803555 x 2587873145 x 981607319 x 4461851595 x 89237
Negative: -1 x -142333015-5 x -28466603-11 x -12939365-29 x -4908035-55 x -2587873-145 x -981607-319 x -446185-1595 x -89237


How do I find the factor combinations of the number 142,333,015?

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 142,333,015, 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.

1 142,333,015
-1 -142,333,015

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 142,333,015.

Example:
1 x 142,333,015 = 142,333,015
and
-1 x -142,333,015 = 142,333,015
Notice both answers equal 142,333,015

With that explanation out of the way, let's continue. Next, we take the number 142,333,015 and divide it by 2:

142,333,015 ÷ 2 = 71,166,507.5

If the quotient is a whole number, then 2 and 71,166,507.5 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:

1 142,333,015
-1 -142,333,015

Now, we try dividing 142,333,015 by 3:

142,333,015 ÷ 3 = 47,444,338.3333

If the quotient is a whole number, then 3 and 47,444,338.3333 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:

1 142,333,015
-1 -142,333,015

Let's try dividing by 4:

142,333,015 ÷ 4 = 35,583,253.75

If the quotient is a whole number, then 4 and 35,583,253.75 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:

1 142,333,015
-1 142,333,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,59589,237446,185981,6072,587,8734,908,03512,939,36528,466,603142,333,015
-1-5-11-29-55-145-319-1,595-89,237-446,185-981,607-2,587,873-4,908,035-12,939,365-28,466,603-142,333,015

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