Q: What are the factor combinations of the number 145,433,045?

 A:
Positive:   1 x 1454330455 x 2908660917 x 855488585 x 17109771223 x 1189151399 x 1039556115 x 237836995 x 20791
Negative: -1 x -145433045-5 x -29086609-17 x -8554885-85 x -1710977-1223 x -118915-1399 x -103955-6115 x -23783-6995 x -20791


How do I find the factor combinations of the number 145,433,045?

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 145,433,045, 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.

1 145,433,045
-1 -145,433,045

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 145,433,045.

Example:
1 x 145,433,045 = 145,433,045
and
-1 x -145,433,045 = 145,433,045
Notice both answers equal 145,433,045

With that explanation out of the way, let's continue. Next, we take the number 145,433,045 and divide it by 2:

145,433,045 ÷ 2 = 72,716,522.5

If the quotient is a whole number, then 2 and 72,716,522.5 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:

1 145,433,045
-1 -145,433,045

Now, we try dividing 145,433,045 by 3:

145,433,045 ÷ 3 = 48,477,681.6667

If the quotient is a whole number, then 3 and 48,477,681.6667 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:

1 145,433,045
-1 -145,433,045

Let's try dividing by 4:

145,433,045 ÷ 4 = 36,358,261.25

If the quotient is a whole number, then 4 and 36,358,261.25 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:

1 145,433,045
-1 145,433,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,2231,3996,1156,99520,79123,783103,955118,9151,710,9778,554,88529,086,609145,433,045
-1-5-17-85-1,223-1,399-6,115-6,995-20,791-23,783-103,955-118,915-1,710,977-8,554,885-29,086,609-145,433,045

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