Q: What are the factor combinations of the number 142,213,435?

 A:
Positive:   1 x 1422134355 x 284426877 x 2031620513 x 1093949535 x 406324149 x 290231565 x 218789991 x 1562785245 x 580463455 x 312557637 x 2232553185 x 44651
Negative: -1 x -142213435-5 x -28442687-7 x -20316205-13 x -10939495-35 x -4063241-49 x -2902315-65 x -2187899-91 x -1562785-245 x -580463-455 x -312557-637 x -223255-3185 x -44651


How do I find the factor combinations of the number 142,213,435?

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 142,213,435, 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.

1 142,213,435
-1 -142,213,435

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 142,213,435.

Example:
1 x 142,213,435 = 142,213,435
and
-1 x -142,213,435 = 142,213,435
Notice both answers equal 142,213,435

With that explanation out of the way, let's continue. Next, we take the number 142,213,435 and divide it by 2:

142,213,435 ÷ 2 = 71,106,717.5

If the quotient is a whole number, then 2 and 71,106,717.5 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:

1 142,213,435
-1 -142,213,435

Now, we try dividing 142,213,435 by 3:

142,213,435 ÷ 3 = 47,404,478.3333

If the quotient is a whole number, then 3 and 47,404,478.3333 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:

1 142,213,435
-1 -142,213,435

Let's try dividing by 4:

142,213,435 ÷ 4 = 35,553,358.75

If the quotient is a whole number, then 4 and 35,553,358.75 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:

1 142,213,435
-1 142,213,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,18544,651223,255312,557580,4631,562,7852,187,8992,902,3154,063,24110,939,49520,316,20528,442,687142,213,435
-1-5-7-13-35-49-65-91-245-455-637-3,185-44,651-223,255-312,557-580,463-1,562,785-2,187,899-2,902,315-4,063,241-10,939,495-20,316,205-28,442,687-142,213,435

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