Q: What are the factor combinations of the number 142,302,755?

 A:
Positive:   1 x 1423027555 x 284605517 x 2032896535 x 4065793911 x 1562054463 x 318854555 x 312416377 x 22315
Negative: -1 x -142302755-5 x -28460551-7 x -20328965-35 x -4065793-911 x -156205-4463 x -31885-4555 x -31241-6377 x -22315


How do I find the factor combinations of the number 142,302,755?

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 142,302,755, 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.

1 142,302,755
-1 -142,302,755

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 142,302,755.

Example:
1 x 142,302,755 = 142,302,755
and
-1 x -142,302,755 = 142,302,755
Notice both answers equal 142,302,755

With that explanation out of the way, let's continue. Next, we take the number 142,302,755 and divide it by 2:

142,302,755 ÷ 2 = 71,151,377.5

If the quotient is a whole number, then 2 and 71,151,377.5 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:

1 142,302,755
-1 -142,302,755

Now, we try dividing 142,302,755 by 3:

142,302,755 ÷ 3 = 47,434,251.6667

If the quotient is a whole number, then 3 and 47,434,251.6667 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:

1 142,302,755
-1 -142,302,755

Let's try dividing by 4:

142,302,755 ÷ 4 = 35,575,688.75

If the quotient is a whole number, then 4 and 35,575,688.75 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:

1 142,302,755
-1 142,302,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157359114,4634,5556,37722,31531,24131,885156,2054,065,79320,328,96528,460,551142,302,755
-1-5-7-35-911-4,463-4,555-6,377-22,315-31,241-31,885-156,205-4,065,793-20,328,965-28,460,551-142,302,755

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