Q: What are the factor combinations of the number 1,377,215?

 A:
Positive:   1 x 13772155 x 2754437 x 19674519 x 7248535 x 3934995 x 14497109 x 12635133 x 10355361 x 3815545 x 2527665 x 2071763 x 1805
Negative: -1 x -1377215-5 x -275443-7 x -196745-19 x -72485-35 x -39349-95 x -14497-109 x -12635-133 x -10355-361 x -3815-545 x -2527-665 x -2071-763 x -1805


How do I find the factor combinations of the number 1,377,215?

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 1,377,215, 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 1,377,215
-1 -1,377,215

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 1,377,215.

Example:
1 x 1,377,215 = 1,377,215
and
-1 x -1,377,215 = 1,377,215
Notice both answers equal 1,377,215

With that explanation out of the way, let's continue. Next, we take the number 1,377,215 and divide it by 2:

1,377,215 ÷ 2 = 688,607.5

If the quotient is a whole number, then 2 and 688,607.5 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 1,377,215
-1 -1,377,215

Now, we try dividing 1,377,215 by 3:

1,377,215 ÷ 3 = 459,071.6667

If the quotient is a whole number, then 3 and 459,071.6667 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 1,377,215
-1 -1,377,215

Let's try dividing by 4:

1,377,215 ÷ 4 = 344,303.75

If the quotient is a whole number, then 4 and 344,303.75 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 1,377,215
-1 1,377,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951091333615456657631,8052,0712,5273,81510,35512,63514,49739,34972,485196,745275,4431,377,215
-1-5-7-19-35-95-109-133-361-545-665-763-1,805-2,071-2,527-3,815-10,355-12,635-14,497-39,349-72,485-196,745-275,443-1,377,215

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