Q: What are the factor combinations of the number 401,033,215?

 A:
Positive:   1 x 4010332155 x 8020664311 x 3645756555 x 729151361 x 6574315305 x 1314863671 x 5976653355 x 119533
Negative: -1 x -401033215-5 x -80206643-11 x -36457565-55 x -7291513-61 x -6574315-305 x -1314863-671 x -597665-3355 x -119533


How do I find the factor combinations of the number 401,033,215?

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 401,033,215, 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.

1 401,033,215
-1 -401,033,215

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 401,033,215.

Example:
1 x 401,033,215 = 401,033,215
and
-1 x -401,033,215 = 401,033,215
Notice both answers equal 401,033,215

With that explanation out of the way, let's continue. Next, we take the number 401,033,215 and divide it by 2:

401,033,215 ÷ 2 = 200,516,607.5

If the quotient is a whole number, then 2 and 200,516,607.5 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:

1 401,033,215
-1 -401,033,215

Now, we try dividing 401,033,215 by 3:

401,033,215 ÷ 3 = 133,677,738.3333

If the quotient is a whole number, then 3 and 133,677,738.3333 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:

1 401,033,215
-1 -401,033,215

Let's try dividing by 4:

401,033,215 ÷ 4 = 100,258,303.75

If the quotient is a whole number, then 4 and 100,258,303.75 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:

1 401,033,215
-1 401,033,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,355119,533597,6651,314,8636,574,3157,291,51336,457,56580,206,643401,033,215
-1-5-11-55-61-305-671-3,355-119,533-597,665-1,314,863-6,574,315-7,291,513-36,457,565-80,206,643-401,033,215

More Examples

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