Q: What are the factor combinations of the number 1,358,035?

 A:
Positive:   1 x 13580355 x 2716077 x 19400523 x 5904535 x 3880149 x 27715115 x 11809161 x 8435241 x 5635245 x 5543805 x 16871127 x 1205
Negative: -1 x -1358035-5 x -271607-7 x -194005-23 x -59045-35 x -38801-49 x -27715-115 x -11809-161 x -8435-241 x -5635-245 x -5543-805 x -1687-1127 x -1205


How do I find the factor combinations of the number 1,358,035?

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 1,358,035, 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 1,358,035
-1 -1,358,035

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 1,358,035.

Example:
1 x 1,358,035 = 1,358,035
and
-1 x -1,358,035 = 1,358,035
Notice both answers equal 1,358,035

With that explanation out of the way, let's continue. Next, we take the number 1,358,035 and divide it by 2:

1,358,035 ÷ 2 = 679,017.5

If the quotient is a whole number, then 2 and 679,017.5 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 1,358,035
-1 -1,358,035

Now, we try dividing 1,358,035 by 3:

1,358,035 ÷ 3 = 452,678.3333

If the quotient is a whole number, then 3 and 452,678.3333 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 1,358,035
-1 -1,358,035

Let's try dividing by 4:

1,358,035 ÷ 4 = 339,508.75

If the quotient is a whole number, then 4 and 339,508.75 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 1,358,035
-1 1,358,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335491151612412458051,1271,2051,6875,5435,6358,43511,80927,71538,80159,045194,005271,6071,358,035
-1-5-7-23-35-49-115-161-241-245-805-1,127-1,205-1,687-5,543-5,635-8,435-11,809-27,715-38,801-59,045-194,005-271,607-1,358,035

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