Q: What are the factor combinations of the number 146,211,035?

 A:
Positive:   1 x 1462110355 x 2924220731 x 4716485151 x 968285155 x 943297755 x 1936574681 x 312356247 x 23405
Negative: -1 x -146211035-5 x -29242207-31 x -4716485-151 x -968285-155 x -943297-755 x -193657-4681 x -31235-6247 x -23405


How do I find the factor combinations of the number 146,211,035?

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 146,211,035, 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.

1 146,211,035
-1 -146,211,035

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 146,211,035.

Example:
1 x 146,211,035 = 146,211,035
and
-1 x -146,211,035 = 146,211,035
Notice both answers equal 146,211,035

With that explanation out of the way, let's continue. Next, we take the number 146,211,035 and divide it by 2:

146,211,035 ÷ 2 = 73,105,517.5

If the quotient is a whole number, then 2 and 73,105,517.5 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:

1 146,211,035
-1 -146,211,035

Now, we try dividing 146,211,035 by 3:

146,211,035 ÷ 3 = 48,737,011.6667

If the quotient is a whole number, then 3 and 48,737,011.6667 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:

1 146,211,035
-1 -146,211,035

Let's try dividing by 4:

146,211,035 ÷ 4 = 36,552,758.75

If the quotient is a whole number, then 4 and 36,552,758.75 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:

1 146,211,035
-1 146,211,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15311511557554,6816,24723,40531,235193,657943,297968,2854,716,48529,242,207146,211,035
-1-5-31-151-155-755-4,681-6,247-23,405-31,235-193,657-943,297-968,285-4,716,485-29,242,207-146,211,035

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