Q: What are the factor combinations of the number 343,344,035?

 A:
Positive:   1 x 3433440355 x 6866880743 x 7984745215 x 1596949593 x 5789952693 x 1274952965 x 11579913465 x 25499
Negative: -1 x -343344035-5 x -68668807-43 x -7984745-215 x -1596949-593 x -578995-2693 x -127495-2965 x -115799-13465 x -25499


How do I find the factor combinations of the number 343,344,035?

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 343,344,035, 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.

1 343,344,035
-1 -343,344,035

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 343,344,035.

Example:
1 x 343,344,035 = 343,344,035
and
-1 x -343,344,035 = 343,344,035
Notice both answers equal 343,344,035

With that explanation out of the way, let's continue. Next, we take the number 343,344,035 and divide it by 2:

343,344,035 ÷ 2 = 171,672,017.5

If the quotient is a whole number, then 2 and 171,672,017.5 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:

1 343,344,035
-1 -343,344,035

Now, we try dividing 343,344,035 by 3:

343,344,035 ÷ 3 = 114,448,011.6667

If the quotient is a whole number, then 3 and 114,448,011.6667 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:

1 343,344,035
-1 -343,344,035

Let's try dividing by 4:

343,344,035 ÷ 4 = 85,836,008.75

If the quotient is a whole number, then 4 and 85,836,008.75 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:

1 343,344,035
-1 343,344,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15432155932,6932,96513,46525,499115,799127,495578,9951,596,9497,984,74568,668,807343,344,035
-1-5-43-215-593-2,693-2,965-13,465-25,499-115,799-127,495-578,995-1,596,949-7,984,745-68,668,807-343,344,035

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