Q: What are the factor combinations of the number 2,990,075?

 A:
Positive:   1 x 29900755 x 59801511 x 27182525 x 11960355 x 5436583 x 36025131 x 22825275 x 10873415 x 7205655 x 4565913 x 32751441 x 2075
Negative: -1 x -2990075-5 x -598015-11 x -271825-25 x -119603-55 x -54365-83 x -36025-131 x -22825-275 x -10873-415 x -7205-655 x -4565-913 x -3275-1441 x -2075


How do I find the factor combinations of the number 2,990,075?

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 2,990,075, 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 2,990,075
-1 -2,990,075

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 2,990,075.

Example:
1 x 2,990,075 = 2,990,075
and
-1 x -2,990,075 = 2,990,075
Notice both answers equal 2,990,075

With that explanation out of the way, let's continue. Next, we take the number 2,990,075 and divide it by 2:

2,990,075 ÷ 2 = 1,495,037.5

If the quotient is a whole number, then 2 and 1,495,037.5 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 2,990,075
-1 -2,990,075

Now, we try dividing 2,990,075 by 3:

2,990,075 ÷ 3 = 996,691.6667

If the quotient is a whole number, then 3 and 996,691.6667 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 2,990,075
-1 -2,990,075

Let's try dividing by 4:

2,990,075 ÷ 4 = 747,518.75

If the quotient is a whole number, then 4 and 747,518.75 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 2,990,075
-1 2,990,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555831312754156559131,4412,0753,2754,5657,20510,87322,82536,02554,365119,603271,825598,0152,990,075
-1-5-11-25-55-83-131-275-415-655-913-1,441-2,075-3,275-4,565-7,205-10,873-22,825-36,025-54,365-119,603-271,825-598,015-2,990,075

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