Q: What are the factor combinations of the number 45,367,483?

 A:
Positive:   1 x 453674837 x 648106949 x 92586789 x 509747101 x 449183103 x 440461623 x 72821707 x 64169721 x 629234361 x 104034949 x 91675047 x 8989
Negative: -1 x -45367483-7 x -6481069-49 x -925867-89 x -509747-101 x -449183-103 x -440461-623 x -72821-707 x -64169-721 x -62923-4361 x -10403-4949 x -9167-5047 x -8989


How do I find the factor combinations of the number 45,367,483?

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 45,367,483, 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 45,367,483
-1 -45,367,483

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 45,367,483.

Example:
1 x 45,367,483 = 45,367,483
and
-1 x -45,367,483 = 45,367,483
Notice both answers equal 45,367,483

With that explanation out of the way, let's continue. Next, we take the number 45,367,483 and divide it by 2:

45,367,483 ÷ 2 = 22,683,741.5

If the quotient is a whole number, then 2 and 22,683,741.5 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 45,367,483
-1 -45,367,483

Now, we try dividing 45,367,483 by 3:

45,367,483 ÷ 3 = 15,122,494.3333

If the quotient is a whole number, then 3 and 15,122,494.3333 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 45,367,483
-1 -45,367,483

Let's try dividing by 4:

45,367,483 ÷ 4 = 11,341,870.75

If the quotient is a whole number, then 4 and 11,341,870.75 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 45,367,483
-1 45,367,483
Keep dividing by the next highest number until you cannot divide anymore.

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

1749891011036237077214,3614,9495,0478,9899,16710,40362,92364,16972,821440,461449,183509,747925,8676,481,06945,367,483
-1-7-49-89-101-103-623-707-721-4,361-4,949-5,047-8,989-9,167-10,403-62,923-64,169-72,821-440,461-449,183-509,747-925,867-6,481,069-45,367,483

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