Q: What are the factor combinations of the number 45,415,045?

 A:
Positive:   1 x 454150455 x 908300913 x 349346565 x 698693491 x 924951423 x 319152455 x 184996383 x 7115
Negative: -1 x -45415045-5 x -9083009-13 x -3493465-65 x -698693-491 x -92495-1423 x -31915-2455 x -18499-6383 x -7115


How do I find the factor combinations of the number 45,415,045?

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 45,415,045, 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 45,415,045
-1 -45,415,045

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 45,415,045.

Example:
1 x 45,415,045 = 45,415,045
and
-1 x -45,415,045 = 45,415,045
Notice both answers equal 45,415,045

With that explanation out of the way, let's continue. Next, we take the number 45,415,045 and divide it by 2:

45,415,045 ÷ 2 = 22,707,522.5

If the quotient is a whole number, then 2 and 22,707,522.5 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 45,415,045
-1 -45,415,045

Now, we try dividing 45,415,045 by 3:

45,415,045 ÷ 3 = 15,138,348.3333

If the quotient is a whole number, then 3 and 15,138,348.3333 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 45,415,045
-1 -45,415,045

Let's try dividing by 4:

45,415,045 ÷ 4 = 11,353,761.25

If the quotient is a whole number, then 4 and 11,353,761.25 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 45,415,045
-1 45,415,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654911,4232,4556,3837,11518,49931,91592,495698,6933,493,4659,083,00945,415,045
-1-5-13-65-491-1,423-2,455-6,383-7,115-18,499-31,915-92,495-698,693-3,493,465-9,083,009-45,415,045

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