Q: What are the factor combinations of the number 345,534,145?

 A:
Positive:   1 x 3455341455 x 6910682911 x 3141219555 x 6282439373 x 9263651865 x 1852734103 x 8421516843 x 20515
Negative: -1 x -345534145-5 x -69106829-11 x -31412195-55 x -6282439-373 x -926365-1865 x -185273-4103 x -84215-16843 x -20515


How do I find the factor combinations of the number 345,534,145?

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 345,534,145, 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.

1 345,534,145
-1 -345,534,145

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 345,534,145.

Example:
1 x 345,534,145 = 345,534,145
and
-1 x -345,534,145 = 345,534,145
Notice both answers equal 345,534,145

With that explanation out of the way, let's continue. Next, we take the number 345,534,145 and divide it by 2:

345,534,145 ÷ 2 = 172,767,072.5

If the quotient is a whole number, then 2 and 172,767,072.5 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:

1 345,534,145
-1 -345,534,145

Now, we try dividing 345,534,145 by 3:

345,534,145 ÷ 3 = 115,178,048.3333

If the quotient is a whole number, then 3 and 115,178,048.3333 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:

1 345,534,145
-1 -345,534,145

Let's try dividing by 4:

345,534,145 ÷ 4 = 86,383,536.25

If the quotient is a whole number, then 4 and 86,383,536.25 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:

1 345,534,145
-1 345,534,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553731,8654,10316,84320,51584,215185,273926,3656,282,43931,412,19569,106,829345,534,145
-1-5-11-55-373-1,865-4,103-16,843-20,515-84,215-185,273-926,365-6,282,439-31,412,195-69,106,829-345,534,145

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