Q: What are the factor combinations of the number 146,051,525?

 A:
Positive:   1 x 1460515255 x 2921030525 x 58420611847 x 790753163 x 461759235 x 15815
Negative: -1 x -146051525-5 x -29210305-25 x -5842061-1847 x -79075-3163 x -46175-9235 x -15815


How do I find the factor combinations of the number 146,051,525?

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 146,051,525, 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.

1 146,051,525
-1 -146,051,525

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 146,051,525.

Example:
1 x 146,051,525 = 146,051,525
and
-1 x -146,051,525 = 146,051,525
Notice both answers equal 146,051,525

With that explanation out of the way, let's continue. Next, we take the number 146,051,525 and divide it by 2:

146,051,525 ÷ 2 = 73,025,762.5

If the quotient is a whole number, then 2 and 73,025,762.5 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:

1 146,051,525
-1 -146,051,525

Now, we try dividing 146,051,525 by 3:

146,051,525 ÷ 3 = 48,683,841.6667

If the quotient is a whole number, then 3 and 48,683,841.6667 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:

1 146,051,525
-1 -146,051,525

Let's try dividing by 4:

146,051,525 ÷ 4 = 36,512,881.25

If the quotient is a whole number, then 4 and 36,512,881.25 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:

1 146,051,525
-1 146,051,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15251,8473,1639,23515,81546,17579,0755,842,06129,210,305146,051,525
-1-5-25-1,847-3,163-9,235-15,815-46,175-79,075-5,842,061-29,210,305-146,051,525

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