Q: What are the factor combinations of the number 146,430,265?

 A:
Positive:   1 x 1464302655 x 2928605317 x 861354543 x 340535585 x 1722709215 x 681071731 x 2003153655 x 40063
Negative: -1 x -146430265-5 x -29286053-17 x -8613545-43 x -3405355-85 x -1722709-215 x -681071-731 x -200315-3655 x -40063


How do I find the factor combinations of the number 146,430,265?

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 146,430,265, 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.

1 146,430,265
-1 -146,430,265

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 146,430,265.

Example:
1 x 146,430,265 = 146,430,265
and
-1 x -146,430,265 = 146,430,265
Notice both answers equal 146,430,265

With that explanation out of the way, let's continue. Next, we take the number 146,430,265 and divide it by 2:

146,430,265 ÷ 2 = 73,215,132.5

If the quotient is a whole number, then 2 and 73,215,132.5 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:

1 146,430,265
-1 -146,430,265

Now, we try dividing 146,430,265 by 3:

146,430,265 ÷ 3 = 48,810,088.3333

If the quotient is a whole number, then 3 and 48,810,088.3333 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:

1 146,430,265
-1 -146,430,265

Let's try dividing by 4:

146,430,265 ÷ 4 = 36,607,566.25

If the quotient is a whole number, then 4 and 36,607,566.25 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:

1 146,430,265
-1 146,430,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151743852157313,65540,063200,315681,0711,722,7093,405,3558,613,54529,286,053146,430,265
-1-5-17-43-85-215-731-3,655-40,063-200,315-681,071-1,722,709-3,405,355-8,613,545-29,286,053-146,430,265

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