Q: What are the factor combinations of the number 146,103,049?

 A:
Positive:   1 x 14610304917 x 859429741 x 356348997 x 1506217697 x 2096171649 x 886012161 x 676093977 x 36737
Negative: -1 x -146103049-17 x -8594297-41 x -3563489-97 x -1506217-697 x -209617-1649 x -88601-2161 x -67609-3977 x -36737


How do I find the factor combinations of the number 146,103,049?

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 146,103,049, 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.

1 146,103,049
-1 -146,103,049

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 146,103,049.

Example:
1 x 146,103,049 = 146,103,049
and
-1 x -146,103,049 = 146,103,049
Notice both answers equal 146,103,049

With that explanation out of the way, let's continue. Next, we take the number 146,103,049 and divide it by 2:

146,103,049 ÷ 2 = 73,051,524.5

If the quotient is a whole number, then 2 and 73,051,524.5 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:

1 146,103,049
-1 -146,103,049

Now, we try dividing 146,103,049 by 3:

146,103,049 ÷ 3 = 48,701,016.3333

If the quotient is a whole number, then 3 and 48,701,016.3333 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:

1 146,103,049
-1 -146,103,049

Let's try dividing by 4:

146,103,049 ÷ 4 = 36,525,762.25

If the quotient is a whole number, then 4 and 36,525,762.25 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:

1 146,103,049
-1 146,103,049
Keep dividing by the next highest number until you cannot divide anymore.

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

11741976971,6492,1613,97736,73767,60988,601209,6171,506,2173,563,4898,594,297146,103,049
-1-17-41-97-697-1,649-2,161-3,977-36,737-67,609-88,601-209,617-1,506,217-3,563,489-8,594,297-146,103,049

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