Q: What are the factor combinations of the number 147,410,767?

 A:
Positive:   1 x 1474107677 x 2105868149 x 3008383137 x 1075991343 x 429769959 x 1537133137 x 469916713 x 21959
Negative: -1 x -147410767-7 x -21058681-49 x -3008383-137 x -1075991-343 x -429769-959 x -153713-3137 x -46991-6713 x -21959


How do I find the factor combinations of the number 147,410,767?

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 147,410,767, 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.

1 147,410,767
-1 -147,410,767

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 147,410,767.

Example:
1 x 147,410,767 = 147,410,767
and
-1 x -147,410,767 = 147,410,767
Notice both answers equal 147,410,767

With that explanation out of the way, let's continue. Next, we take the number 147,410,767 and divide it by 2:

147,410,767 ÷ 2 = 73,705,383.5

If the quotient is a whole number, then 2 and 73,705,383.5 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:

1 147,410,767
-1 -147,410,767

Now, we try dividing 147,410,767 by 3:

147,410,767 ÷ 3 = 49,136,922.3333

If the quotient is a whole number, then 3 and 49,136,922.3333 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:

1 147,410,767
-1 -147,410,767

Let's try dividing by 4:

147,410,767 ÷ 4 = 36,852,691.75

If the quotient is a whole number, then 4 and 36,852,691.75 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:

1 147,410,767
-1 147,410,767
Keep dividing by the next highest number until you cannot divide anymore.

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

17491373439593,1376,71321,95946,991153,713429,7691,075,9913,008,38321,058,681147,410,767
-1-7-49-137-343-959-3,137-6,713-21,959-46,991-153,713-429,769-1,075,991-3,008,383-21,058,681-147,410,767

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