Q: What are the factor combinations of the number 145,462,133?

 A:
Positive:   1 x 14546213337 x 393140947 x 3094939233 x 624301359 x 4051871739 x 836478621 x 1687310951 x 13283
Negative: -1 x -145462133-37 x -3931409-47 x -3094939-233 x -624301-359 x -405187-1739 x -83647-8621 x -16873-10951 x -13283


How do I find the factor combinations of the number 145,462,133?

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 145,462,133, 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.

1 145,462,133
-1 -145,462,133

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 145,462,133.

Example:
1 x 145,462,133 = 145,462,133
and
-1 x -145,462,133 = 145,462,133
Notice both answers equal 145,462,133

With that explanation out of the way, let's continue. Next, we take the number 145,462,133 and divide it by 2:

145,462,133 ÷ 2 = 72,731,066.5

If the quotient is a whole number, then 2 and 72,731,066.5 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:

1 145,462,133
-1 -145,462,133

Now, we try dividing 145,462,133 by 3:

145,462,133 ÷ 3 = 48,487,377.6667

If the quotient is a whole number, then 3 and 48,487,377.6667 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:

1 145,462,133
-1 -145,462,133

Let's try dividing by 4:

145,462,133 ÷ 4 = 36,365,533.25

If the quotient is a whole number, then 4 and 36,365,533.25 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:

1 145,462,133
-1 145,462,133
Keep dividing by the next highest number until you cannot divide anymore.

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

137472333591,7398,62110,95113,28316,87383,647405,187624,3013,094,9393,931,409145,462,133
-1-37-47-233-359-1,739-8,621-10,951-13,283-16,873-83,647-405,187-624,301-3,094,939-3,931,409-145,462,133

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