Q: What are the factor combinations of the number 145,537,483?

 A:
Positive:   1 x 1455374837 x 2079106913 x 1119519159 x 246673791 x 1599313413 x 352391767 x 1897495369 x 27107
Negative: -1 x -145537483-7 x -20791069-13 x -11195191-59 x -2466737-91 x -1599313-413 x -352391-767 x -189749-5369 x -27107


How do I find the factor combinations of the number 145,537,483?

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 145,537,483, 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.

1 145,537,483
-1 -145,537,483

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 145,537,483.

Example:
1 x 145,537,483 = 145,537,483
and
-1 x -145,537,483 = 145,537,483
Notice both answers equal 145,537,483

With that explanation out of the way, let's continue. Next, we take the number 145,537,483 and divide it by 2:

145,537,483 ÷ 2 = 72,768,741.5

If the quotient is a whole number, then 2 and 72,768,741.5 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:

1 145,537,483
-1 -145,537,483

Now, we try dividing 145,537,483 by 3:

145,537,483 ÷ 3 = 48,512,494.3333

If the quotient is a whole number, then 3 and 48,512,494.3333 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:

1 145,537,483
-1 -145,537,483

Let's try dividing by 4:

145,537,483 ÷ 4 = 36,384,370.75

If the quotient is a whole number, then 4 and 36,384,370.75 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:

1 145,537,483
-1 145,537,483
Keep dividing by the next highest number until you cannot divide anymore.

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

171359914137675,36927,107189,749352,3911,599,3132,466,73711,195,19120,791,069145,537,483
-1-7-13-59-91-413-767-5,369-27,107-189,749-352,391-1,599,313-2,466,737-11,195,191-20,791,069-145,537,483

More Examples

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