Q: What are the factor combinations of the number 153,146,315?

 A:
Positive:   1 x 1531463155 x 306292637 x 2187804535 x 437560949 x 3125435245 x 625087
Negative: -1 x -153146315-5 x -30629263-7 x -21878045-35 x -4375609-49 x -3125435-245 x -625087


How do I find the factor combinations of the number 153,146,315?

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 153,146,315, 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.

1 153,146,315
-1 -153,146,315

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 153,146,315.

Example:
1 x 153,146,315 = 153,146,315
and
-1 x -153,146,315 = 153,146,315
Notice both answers equal 153,146,315

With that explanation out of the way, let's continue. Next, we take the number 153,146,315 and divide it by 2:

153,146,315 ÷ 2 = 76,573,157.5

If the quotient is a whole number, then 2 and 76,573,157.5 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:

1 153,146,315
-1 -153,146,315

Now, we try dividing 153,146,315 by 3:

153,146,315 ÷ 3 = 51,048,771.6667

If the quotient is a whole number, then 3 and 51,048,771.6667 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:

1 153,146,315
-1 -153,146,315

Let's try dividing by 4:

153,146,315 ÷ 4 = 38,286,578.75

If the quotient is a whole number, then 4 and 38,286,578.75 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:

1 153,146,315
-1 153,146,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549245625,0873,125,4354,375,60921,878,04530,629,263153,146,315
-1-5-7-35-49-245-625,087-3,125,435-4,375,609-21,878,045-30,629,263-153,146,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 153,146,315:


Ask a Question