Q: What are the factor combinations of the number 145,331,107?

 A:
Positive:   1 x 14533110767 x 216912171 x 2046917137 x 1060811223 x 6517094757 x 305519179 x 158339727 x 14941
Negative: -1 x -145331107-67 x -2169121-71 x -2046917-137 x -1060811-223 x -651709-4757 x -30551-9179 x -15833-9727 x -14941


How do I find the factor combinations of the number 145,331,107?

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 145,331,107, 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.

1 145,331,107
-1 -145,331,107

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 145,331,107.

Example:
1 x 145,331,107 = 145,331,107
and
-1 x -145,331,107 = 145,331,107
Notice both answers equal 145,331,107

With that explanation out of the way, let's continue. Next, we take the number 145,331,107 and divide it by 2:

145,331,107 ÷ 2 = 72,665,553.5

If the quotient is a whole number, then 2 and 72,665,553.5 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:

1 145,331,107
-1 -145,331,107

Now, we try dividing 145,331,107 by 3:

145,331,107 ÷ 3 = 48,443,702.3333

If the quotient is a whole number, then 3 and 48,443,702.3333 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:

1 145,331,107
-1 -145,331,107

Let's try dividing by 4:

145,331,107 ÷ 4 = 36,332,776.75

If the quotient is a whole number, then 4 and 36,332,776.75 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:

1 145,331,107
-1 145,331,107
Keep dividing by the next highest number until you cannot divide anymore.

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

167711372234,7579,1799,72714,94115,83330,551651,7091,060,8112,046,9172,169,121145,331,107
-1-67-71-137-223-4,757-9,179-9,727-14,941-15,833-30,551-651,709-1,060,811-2,046,917-2,169,121-145,331,107

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