Q: What are the factor combinations of the number 142,042,015?

 A:
Positive:   1 x 1420420155 x 28408403139 x 1021885695 x 204377
Negative: -1 x -142042015-5 x -28408403-139 x -1021885-695 x -204377


How do I find the factor combinations of the number 142,042,015?

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 142,042,015, 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.

1 142,042,015
-1 -142,042,015

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 142,042,015.

Example:
1 x 142,042,015 = 142,042,015
and
-1 x -142,042,015 = 142,042,015
Notice both answers equal 142,042,015

With that explanation out of the way, let's continue. Next, we take the number 142,042,015 and divide it by 2:

142,042,015 ÷ 2 = 71,021,007.5

If the quotient is a whole number, then 2 and 71,021,007.5 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:

1 142,042,015
-1 -142,042,015

Now, we try dividing 142,042,015 by 3:

142,042,015 ÷ 3 = 47,347,338.3333

If the quotient is a whole number, then 3 and 47,347,338.3333 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:

1 142,042,015
-1 -142,042,015

Let's try dividing by 4:

142,042,015 ÷ 4 = 35,510,503.75

If the quotient is a whole number, then 4 and 35,510,503.75 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:

1 142,042,015
-1 142,042,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15139695204,3771,021,88528,408,403142,042,015
-1-5-139-695-204,377-1,021,885-28,408,403-142,042,015

More Examples

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