Q: What are the factor combinations of the number 1,624,315?

 A:
Positive:   1 x 16243155 x 3248637 x 23204511 x 14766535 x 4640955 x 2953377 x 21095385 x 4219
Negative: -1 x -1624315-5 x -324863-7 x -232045-11 x -147665-35 x -46409-55 x -29533-77 x -21095-385 x -4219


How do I find the factor combinations of the number 1,624,315?

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 1,624,315, 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 1,624,315
-1 -1,624,315

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 1,624,315.

Example:
1 x 1,624,315 = 1,624,315
and
-1 x -1,624,315 = 1,624,315
Notice both answers equal 1,624,315

With that explanation out of the way, let's continue. Next, we take the number 1,624,315 and divide it by 2:

1,624,315 ÷ 2 = 812,157.5

If the quotient is a whole number, then 2 and 812,157.5 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 1,624,315
-1 -1,624,315

Now, we try dividing 1,624,315 by 3:

1,624,315 ÷ 3 = 541,438.3333

If the quotient is a whole number, then 3 and 541,438.3333 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 1,624,315
-1 -1,624,315

Let's try dividing by 4:

1,624,315 ÷ 4 = 406,078.75

If the quotient is a whole number, then 4 and 406,078.75 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 1,624,315
-1 1,624,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773854,21921,09529,53346,409147,665232,045324,8631,624,315
-1-5-7-11-35-55-77-385-4,219-21,095-29,533-46,409-147,665-232,045-324,863-1,624,315

More Examples

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