Q: What are the factor combinations of the number 345,430,841?

 A:
Positive:   1 x 3454308417 x 4934726349 x 7049609137 x 2521393343 x 1007087959 x 3601996713 x 514577351 x 46991
Negative: -1 x -345430841-7 x -49347263-49 x -7049609-137 x -2521393-343 x -1007087-959 x -360199-6713 x -51457-7351 x -46991


How do I find the factor combinations of the number 345,430,841?

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 345,430,841, 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.

1 345,430,841
-1 -345,430,841

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 345,430,841.

Example:
1 x 345,430,841 = 345,430,841
and
-1 x -345,430,841 = 345,430,841
Notice both answers equal 345,430,841

With that explanation out of the way, let's continue. Next, we take the number 345,430,841 and divide it by 2:

345,430,841 ÷ 2 = 172,715,420.5

If the quotient is a whole number, then 2 and 172,715,420.5 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:

1 345,430,841
-1 -345,430,841

Now, we try dividing 345,430,841 by 3:

345,430,841 ÷ 3 = 115,143,613.6667

If the quotient is a whole number, then 3 and 115,143,613.6667 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:

1 345,430,841
-1 -345,430,841

Let's try dividing by 4:

345,430,841 ÷ 4 = 86,357,710.25

If the quotient is a whole number, then 4 and 86,357,710.25 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:

1 345,430,841
-1 345,430,841
Keep dividing by the next highest number until you cannot divide anymore.

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

17491373439596,7137,35146,99151,457360,1991,007,0872,521,3937,049,60949,347,263345,430,841
-1-7-49-137-343-959-6,713-7,351-46,991-51,457-360,199-1,007,087-2,521,393-7,049,609-49,347,263-345,430,841

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