Q: What are the factor combinations of the number 153,031,333?

 A:
Positive:   1 x 1530313337 x 2186161913 x 1177164183 x 184375191 x 1681663581 x 2633931079 x 1418277553 x 20261
Negative: -1 x -153031333-7 x -21861619-13 x -11771641-83 x -1843751-91 x -1681663-581 x -263393-1079 x -141827-7553 x -20261


How do I find the factor combinations of the number 153,031,333?

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 153,031,333, 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.

1 153,031,333
-1 -153,031,333

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 153,031,333.

Example:
1 x 153,031,333 = 153,031,333
and
-1 x -153,031,333 = 153,031,333
Notice both answers equal 153,031,333

With that explanation out of the way, let's continue. Next, we take the number 153,031,333 and divide it by 2:

153,031,333 ÷ 2 = 76,515,666.5

If the quotient is a whole number, then 2 and 76,515,666.5 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:

1 153,031,333
-1 -153,031,333

Now, we try dividing 153,031,333 by 3:

153,031,333 ÷ 3 = 51,010,444.3333

If the quotient is a whole number, then 3 and 51,010,444.3333 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:

1 153,031,333
-1 -153,031,333

Let's try dividing by 4:

153,031,333 ÷ 4 = 38,257,833.25

If the quotient is a whole number, then 4 and 38,257,833.25 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:

1 153,031,333
-1 153,031,333
Keep dividing by the next highest number until you cannot divide anymore.

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

171383915811,0797,55320,261141,827263,3931,681,6631,843,75111,771,64121,861,619153,031,333
-1-7-13-83-91-581-1,079-7,553-20,261-141,827-263,393-1,681,663-1,843,751-11,771,641-21,861,619-153,031,333

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