Q: What are the factor combinations of the number 1,493,555?

 A:
Positive:   1 x 14935555 x 2987117 x 21336535 x 42673139 x 10745307 x 4865695 x 2149973 x 1535
Negative: -1 x -1493555-5 x -298711-7 x -213365-35 x -42673-139 x -10745-307 x -4865-695 x -2149-973 x -1535


How do I find the factor combinations of the number 1,493,555?

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 1,493,555, 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 1,493,555
-1 -1,493,555

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 1,493,555.

Example:
1 x 1,493,555 = 1,493,555
and
-1 x -1,493,555 = 1,493,555
Notice both answers equal 1,493,555

With that explanation out of the way, let's continue. Next, we take the number 1,493,555 and divide it by 2:

1,493,555 ÷ 2 = 746,777.5

If the quotient is a whole number, then 2 and 746,777.5 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 1,493,555
-1 -1,493,555

Now, we try dividing 1,493,555 by 3:

1,493,555 ÷ 3 = 497,851.6667

If the quotient is a whole number, then 3 and 497,851.6667 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 1,493,555
-1 -1,493,555

Let's try dividing by 4:

1,493,555 ÷ 4 = 373,388.75

If the quotient is a whole number, then 4 and 373,388.75 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 1,493,555
-1 1,493,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157351393076959731,5352,1494,86510,74542,673213,365298,7111,493,555
-1-5-7-35-139-307-695-973-1,535-2,149-4,865-10,745-42,673-213,365-298,711-1,493,555

More Examples

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