Q: What are the factor combinations of the number 153,031,615?

 A:
Positive:   1 x 1530316155 x 3060632311 x 1391196555 x 278239361 x 2508715305 x 501743671 x 2280653355 x 45613
Negative: -1 x -153031615-5 x -30606323-11 x -13911965-55 x -2782393-61 x -2508715-305 x -501743-671 x -228065-3355 x -45613


How do I find the factor combinations of the number 153,031,615?

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 153,031,615, 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.

1 153,031,615
-1 -153,031,615

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 153,031,615.

Example:
1 x 153,031,615 = 153,031,615
and
-1 x -153,031,615 = 153,031,615
Notice both answers equal 153,031,615

With that explanation out of the way, let's continue. Next, we take the number 153,031,615 and divide it by 2:

153,031,615 ÷ 2 = 76,515,807.5

If the quotient is a whole number, then 2 and 76,515,807.5 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:

1 153,031,615
-1 -153,031,615

Now, we try dividing 153,031,615 by 3:

153,031,615 ÷ 3 = 51,010,538.3333

If the quotient is a whole number, then 3 and 51,010,538.3333 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:

1 153,031,615
-1 -153,031,615

Let's try dividing by 4:

153,031,615 ÷ 4 = 38,257,903.75

If the quotient is a whole number, then 4 and 38,257,903.75 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:

1 153,031,615
-1 153,031,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35545,613228,065501,7432,508,7152,782,39313,911,96530,606,323153,031,615
-1-5-11-55-61-305-671-3,355-45,613-228,065-501,743-2,508,715-2,782,393-13,911,965-30,606,323-153,031,615

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