Q: What are the factor combinations of the number 142,154,333?

 A:
Positive:   1 x 14215433319 x 748180737 x 3842009433 x 328301467 x 304399703 x 2022118227 x 172798873 x 16021
Negative: -1 x -142154333-19 x -7481807-37 x -3842009-433 x -328301-467 x -304399-703 x -202211-8227 x -17279-8873 x -16021


How do I find the factor combinations of the number 142,154,333?

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 142,154,333, 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.

1 142,154,333
-1 -142,154,333

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 142,154,333.

Example:
1 x 142,154,333 = 142,154,333
and
-1 x -142,154,333 = 142,154,333
Notice both answers equal 142,154,333

With that explanation out of the way, let's continue. Next, we take the number 142,154,333 and divide it by 2:

142,154,333 ÷ 2 = 71,077,166.5

If the quotient is a whole number, then 2 and 71,077,166.5 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:

1 142,154,333
-1 -142,154,333

Now, we try dividing 142,154,333 by 3:

142,154,333 ÷ 3 = 47,384,777.6667

If the quotient is a whole number, then 3 and 47,384,777.6667 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:

1 142,154,333
-1 -142,154,333

Let's try dividing by 4:

142,154,333 ÷ 4 = 35,538,583.25

If the quotient is a whole number, then 4 and 35,538,583.25 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:

1 142,154,333
-1 142,154,333
Keep dividing by the next highest number until you cannot divide anymore.

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

119374334677038,2278,87316,02117,279202,211304,399328,3013,842,0097,481,807142,154,333
-1-19-37-433-467-703-8,227-8,873-16,021-17,279-202,211-304,399-328,301-3,842,009-7,481,807-142,154,333

More Examples

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