Q: What are the factor combinations of the number 1,438,075?

 A:
Positive:   1 x 14380755 x 28761523 x 6252525 x 5752341 x 3507561 x 23575115 x 12505205 x 7015305 x 4715575 x 2501943 x 15251025 x 1403
Negative: -1 x -1438075-5 x -287615-23 x -62525-25 x -57523-41 x -35075-61 x -23575-115 x -12505-205 x -7015-305 x -4715-575 x -2501-943 x -1525-1025 x -1403


How do I find the factor combinations of the number 1,438,075?

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 1,438,075, 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 1,438,075
-1 -1,438,075

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 1,438,075.

Example:
1 x 1,438,075 = 1,438,075
and
-1 x -1,438,075 = 1,438,075
Notice both answers equal 1,438,075

With that explanation out of the way, let's continue. Next, we take the number 1,438,075 and divide it by 2:

1,438,075 ÷ 2 = 719,037.5

If the quotient is a whole number, then 2 and 719,037.5 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 1,438,075
-1 -1,438,075

Now, we try dividing 1,438,075 by 3:

1,438,075 ÷ 3 = 479,358.3333

If the quotient is a whole number, then 3 and 479,358.3333 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 1,438,075
-1 -1,438,075

Let's try dividing by 4:

1,438,075 ÷ 4 = 359,518.75

If the quotient is a whole number, then 4 and 359,518.75 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 1,438,075
-1 1,438,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15232541611152053055759431,0251,4031,5252,5014,7157,01512,50523,57535,07557,52362,525287,6151,438,075
-1-5-23-25-41-61-115-205-305-575-943-1,025-1,403-1,525-2,501-4,715-7,015-12,505-23,575-35,075-57,523-62,525-287,615-1,438,075

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