Q: What are the factor combinations of the number 346,472,651?

 A:
Positive:   1 x 3464726517 x 4949609397 x 3571883139 x 2492609679 x 510269973 x 3560873671 x 9438113483 x 25697
Negative: -1 x -346472651-7 x -49496093-97 x -3571883-139 x -2492609-679 x -510269-973 x -356087-3671 x -94381-13483 x -25697


How do I find the factor combinations of the number 346,472,651?

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 346,472,651, 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.

1 346,472,651
-1 -346,472,651

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 346,472,651.

Example:
1 x 346,472,651 = 346,472,651
and
-1 x -346,472,651 = 346,472,651
Notice both answers equal 346,472,651

With that explanation out of the way, let's continue. Next, we take the number 346,472,651 and divide it by 2:

346,472,651 ÷ 2 = 173,236,325.5

If the quotient is a whole number, then 2 and 173,236,325.5 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:

1 346,472,651
-1 -346,472,651

Now, we try dividing 346,472,651 by 3:

346,472,651 ÷ 3 = 115,490,883.6667

If the quotient is a whole number, then 3 and 115,490,883.6667 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:

1 346,472,651
-1 -346,472,651

Let's try dividing by 4:

346,472,651 ÷ 4 = 86,618,162.75

If the quotient is a whole number, then 4 and 86,618,162.75 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:

1 346,472,651
-1 346,472,651
Keep dividing by the next highest number until you cannot divide anymore.

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

17971396799733,67113,48325,69794,381356,087510,2692,492,6093,571,88349,496,093346,472,651
-1-7-97-139-679-973-3,671-13,483-25,697-94,381-356,087-510,269-2,492,609-3,571,883-49,496,093-346,472,651

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