Q: What are the factor combinations of the number 340,124,239?

 A:
Positive:   1 x 3401242397 x 4858917713 x 2616340337 x 919254749 x 694131191 x 3737629259 x 1313221481 x 707119637 x 5339471813 x 1876033367 x 10101714431 x 23569
Negative: -1 x -340124239-7 x -48589177-13 x -26163403-37 x -9192547-49 x -6941311-91 x -3737629-259 x -1313221-481 x -707119-637 x -533947-1813 x -187603-3367 x -101017-14431 x -23569


How do I find the factor combinations of the number 340,124,239?

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 340,124,239, 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.

1 340,124,239
-1 -340,124,239

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 340,124,239.

Example:
1 x 340,124,239 = 340,124,239
and
-1 x -340,124,239 = 340,124,239
Notice both answers equal 340,124,239

With that explanation out of the way, let's continue. Next, we take the number 340,124,239 and divide it by 2:

340,124,239 ÷ 2 = 170,062,119.5

If the quotient is a whole number, then 2 and 170,062,119.5 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:

1 340,124,239
-1 -340,124,239

Now, we try dividing 340,124,239 by 3:

340,124,239 ÷ 3 = 113,374,746.3333

If the quotient is a whole number, then 3 and 113,374,746.3333 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:

1 340,124,239
-1 -340,124,239

Let's try dividing by 4:

340,124,239 ÷ 4 = 85,031,059.75

If the quotient is a whole number, then 4 and 85,031,059.75 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:

1 340,124,239
-1 340,124,239
Keep dividing by the next highest number until you cannot divide anymore.

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

17133749912594816371,8133,36714,43123,569101,017187,603533,947707,1191,313,2213,737,6296,941,3119,192,54726,163,40348,589,177340,124,239
-1-7-13-37-49-91-259-481-637-1,813-3,367-14,431-23,569-101,017-187,603-533,947-707,119-1,313,221-3,737,629-6,941,311-9,192,547-26,163,403-48,589,177-340,124,239

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