Q: What are the factor combinations of the number 130,462,145?

 A:
Positive:   1 x 1304621455 x 2609242911 x 1186019555 x 237203971 x 1837495355 x 367499781 x 1670453905 x 33409
Negative: -1 x -130462145-5 x -26092429-11 x -11860195-55 x -2372039-71 x -1837495-355 x -367499-781 x -167045-3905 x -33409


How do I find the factor combinations of the number 130,462,145?

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 130,462,145, 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.

1 130,462,145
-1 -130,462,145

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 130,462,145.

Example:
1 x 130,462,145 = 130,462,145
and
-1 x -130,462,145 = 130,462,145
Notice both answers equal 130,462,145

With that explanation out of the way, let's continue. Next, we take the number 130,462,145 and divide it by 2:

130,462,145 ÷ 2 = 65,231,072.5

If the quotient is a whole number, then 2 and 65,231,072.5 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:

1 130,462,145
-1 -130,462,145

Now, we try dividing 130,462,145 by 3:

130,462,145 ÷ 3 = 43,487,381.6667

If the quotient is a whole number, then 3 and 43,487,381.6667 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:

1 130,462,145
-1 -130,462,145

Let's try dividing by 4:

130,462,145 ÷ 4 = 32,615,536.25

If the quotient is a whole number, then 4 and 32,615,536.25 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:

1 130,462,145
-1 130,462,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151155713557813,90533,409167,045367,4991,837,4952,372,03911,860,19526,092,429130,462,145
-1-5-11-55-71-355-781-3,905-33,409-167,045-367,499-1,837,495-2,372,039-11,860,195-26,092,429-130,462,145

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