Q: What are the factor combinations of the number 7,150,675?

 A:
Positive:   1 x 71506755 x 14301357 x 102152525 x 28602729 x 24657535 x 204305145 x 49315175 x 40861203 x 35225725 x 98631015 x 70451409 x 5075
Negative: -1 x -7150675-5 x -1430135-7 x -1021525-25 x -286027-29 x -246575-35 x -204305-145 x -49315-175 x -40861-203 x -35225-725 x -9863-1015 x -7045-1409 x -5075


How do I find the factor combinations of the number 7,150,675?

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 7,150,675, 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 7,150,675
-1 -7,150,675

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 7,150,675.

Example:
1 x 7,150,675 = 7,150,675
and
-1 x -7,150,675 = 7,150,675
Notice both answers equal 7,150,675

With that explanation out of the way, let's continue. Next, we take the number 7,150,675 and divide it by 2:

7,150,675 ÷ 2 = 3,575,337.5

If the quotient is a whole number, then 2 and 3,575,337.5 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 7,150,675
-1 -7,150,675

Now, we try dividing 7,150,675 by 3:

7,150,675 ÷ 3 = 2,383,558.3333

If the quotient is a whole number, then 3 and 2,383,558.3333 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 7,150,675
-1 -7,150,675

Let's try dividing by 4:

7,150,675 ÷ 4 = 1,787,668.75

If the quotient is a whole number, then 4 and 1,787,668.75 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 7,150,675
-1 7,150,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451752037251,0151,4095,0757,0459,86335,22540,86149,315204,305246,575286,0271,021,5251,430,1357,150,675
-1-5-7-25-29-35-145-175-203-725-1,015-1,409-5,075-7,045-9,863-35,225-40,861-49,315-204,305-246,575-286,027-1,021,525-1,430,135-7,150,675

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