Q: What are the factor combinations of the number 7,375,375?

 A:
Positive:   1 x 73753755 x 14750757 x 105362525 x 29501535 x 210725125 x 59003175 x 42145875 x 8429
Negative: -1 x -7375375-5 x -1475075-7 x -1053625-25 x -295015-35 x -210725-125 x -59003-175 x -42145-875 x -8429


How do I find the factor combinations of the number 7,375,375?

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 7,375,375, 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 7,375,375
-1 -7,375,375

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 7,375,375.

Example:
1 x 7,375,375 = 7,375,375
and
-1 x -7,375,375 = 7,375,375
Notice both answers equal 7,375,375

With that explanation out of the way, let's continue. Next, we take the number 7,375,375 and divide it by 2:

7,375,375 ÷ 2 = 3,687,687.5

If the quotient is a whole number, then 2 and 3,687,687.5 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 7,375,375
-1 -7,375,375

Now, we try dividing 7,375,375 by 3:

7,375,375 ÷ 3 = 2,458,458.3333

If the quotient is a whole number, then 3 and 2,458,458.3333 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 7,375,375
-1 -7,375,375

Let's try dividing by 4:

7,375,375 ÷ 4 = 1,843,843.75

If the quotient is a whole number, then 4 and 1,843,843.75 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 7,375,375
-1 7,375,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758758,42942,14559,003210,725295,0151,053,6251,475,0757,375,375
-1-5-7-25-35-125-175-875-8,429-42,145-59,003-210,725-295,015-1,053,625-1,475,075-7,375,375

More Examples

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