Q: What are the factor combinations of the number 5,452,013?

 A:
Positive:   1 x 54520137 x 77885943 x 12679159 x 92407301 x 18113307 x 17759413 x 132012149 x 2537
Negative: -1 x -5452013-7 x -778859-43 x -126791-59 x -92407-301 x -18113-307 x -17759-413 x -13201-2149 x -2537


How do I find the factor combinations of the number 5,452,013?

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 5,452,013, 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 5,452,013
-1 -5,452,013

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 5,452,013.

Example:
1 x 5,452,013 = 5,452,013
and
-1 x -5,452,013 = 5,452,013
Notice both answers equal 5,452,013

With that explanation out of the way, let's continue. Next, we take the number 5,452,013 and divide it by 2:

5,452,013 ÷ 2 = 2,726,006.5

If the quotient is a whole number, then 2 and 2,726,006.5 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 5,452,013
-1 -5,452,013

Now, we try dividing 5,452,013 by 3:

5,452,013 ÷ 3 = 1,817,337.6667

If the quotient is a whole number, then 3 and 1,817,337.6667 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 5,452,013
-1 -5,452,013

Let's try dividing by 4:

5,452,013 ÷ 4 = 1,363,003.25

If the quotient is a whole number, then 4 and 1,363,003.25 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 5,452,013
-1 5,452,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1743593013074132,1492,53713,20117,75918,11392,407126,791778,8595,452,013
-1-7-43-59-301-307-413-2,149-2,537-13,201-17,759-18,113-92,407-126,791-778,859-5,452,013

More Examples

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