Q: What are the factor combinations of the number 5,373,485?

 A:
Positive:   1 x 53734855 x 107469713 x 41334519 x 28281565 x 8266995 x 56563229 x 23465247 x 21755361 x 148851145 x 46931235 x 43511805 x 2977
Negative: -1 x -5373485-5 x -1074697-13 x -413345-19 x -282815-65 x -82669-95 x -56563-229 x -23465-247 x -21755-361 x -14885-1145 x -4693-1235 x -4351-1805 x -2977


How do I find the factor combinations of the number 5,373,485?

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 5,373,485, 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 5,373,485
-1 -5,373,485

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 5,373,485.

Example:
1 x 5,373,485 = 5,373,485
and
-1 x -5,373,485 = 5,373,485
Notice both answers equal 5,373,485

With that explanation out of the way, let's continue. Next, we take the number 5,373,485 and divide it by 2:

5,373,485 ÷ 2 = 2,686,742.5

If the quotient is a whole number, then 2 and 2,686,742.5 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 5,373,485
-1 -5,373,485

Now, we try dividing 5,373,485 by 3:

5,373,485 ÷ 3 = 1,791,161.6667

If the quotient is a whole number, then 3 and 1,791,161.6667 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 5,373,485
-1 -5,373,485

Let's try dividing by 4:

5,373,485 ÷ 4 = 1,343,371.25

If the quotient is a whole number, then 4 and 1,343,371.25 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 5,373,485
-1 5,373,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952292473611,1451,2351,8052,9774,3514,69314,88521,75523,46556,56382,669282,815413,3451,074,6975,373,485
-1-5-13-19-65-95-229-247-361-1,145-1,235-1,805-2,977-4,351-4,693-14,885-21,755-23,465-56,563-82,669-282,815-413,345-1,074,697-5,373,485

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