Q: What are the factor combinations of the number 5,371,345?

 A:
Positive:   1 x 53713455 x 10742697 x 76733535 x 15346743 x 12491583 x 64715215 x 24983301 x 17845415 x 12943581 x 92451505 x 35691849 x 2905
Negative: -1 x -5371345-5 x -1074269-7 x -767335-35 x -153467-43 x -124915-83 x -64715-215 x -24983-301 x -17845-415 x -12943-581 x -9245-1505 x -3569-1849 x -2905


How do I find the factor combinations of the number 5,371,345?

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 5,371,345, 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 5,371,345
-1 -5,371,345

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 5,371,345.

Example:
1 x 5,371,345 = 5,371,345
and
-1 x -5,371,345 = 5,371,345
Notice both answers equal 5,371,345

With that explanation out of the way, let's continue. Next, we take the number 5,371,345 and divide it by 2:

5,371,345 ÷ 2 = 2,685,672.5

If the quotient is a whole number, then 2 and 2,685,672.5 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 5,371,345
-1 -5,371,345

Now, we try dividing 5,371,345 by 3:

5,371,345 ÷ 3 = 1,790,448.3333

If the quotient is a whole number, then 3 and 1,790,448.3333 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 5,371,345
-1 -5,371,345

Let's try dividing by 4:

5,371,345 ÷ 4 = 1,342,836.25

If the quotient is a whole number, then 4 and 1,342,836.25 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 5,371,345
-1 5,371,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543832153014155811,5051,8492,9053,5699,24512,94317,84524,98364,715124,915153,467767,3351,074,2695,371,345
-1-5-7-35-43-83-215-301-415-581-1,505-1,849-2,905-3,569-9,245-12,943-17,845-24,983-64,715-124,915-153,467-767,335-1,074,269-5,371,345

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