Q: What are the factor combinations of the number 147,438,755?

 A:
Positive:   1 x 1474387555 x 2948775129 x 5084095145 x 1016819283 x 5209851415 x 1041973593 x 410358207 x 17965
Negative: -1 x -147438755-5 x -29487751-29 x -5084095-145 x -1016819-283 x -520985-1415 x -104197-3593 x -41035-8207 x -17965


How do I find the factor combinations of the number 147,438,755?

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 147,438,755, 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.

1 147,438,755
-1 -147,438,755

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 147,438,755.

Example:
1 x 147,438,755 = 147,438,755
and
-1 x -147,438,755 = 147,438,755
Notice both answers equal 147,438,755

With that explanation out of the way, let's continue. Next, we take the number 147,438,755 and divide it by 2:

147,438,755 ÷ 2 = 73,719,377.5

If the quotient is a whole number, then 2 and 73,719,377.5 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:

1 147,438,755
-1 -147,438,755

Now, we try dividing 147,438,755 by 3:

147,438,755 ÷ 3 = 49,146,251.6667

If the quotient is a whole number, then 3 and 49,146,251.6667 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:

1 147,438,755
-1 -147,438,755

Let's try dividing by 4:

147,438,755 ÷ 4 = 36,859,688.75

If the quotient is a whole number, then 4 and 36,859,688.75 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:

1 147,438,755
-1 147,438,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452831,4153,5938,20717,96541,035104,197520,9851,016,8195,084,09529,487,751147,438,755
-1-5-29-145-283-1,415-3,593-8,207-17,965-41,035-104,197-520,985-1,016,819-5,084,095-29,487,751-147,438,755

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