Q: What are the factor combinations of the number 145,143,505?

 A:
Positive:   1 x 1451435055 x 2902870113 x 1116488565 x 2232977239 x 6072951195 x 1214593107 x 467159343 x 15535
Negative: -1 x -145143505-5 x -29028701-13 x -11164885-65 x -2232977-239 x -607295-1195 x -121459-3107 x -46715-9343 x -15535


How do I find the factor combinations of the number 145,143,505?

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 145,143,505, 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.

1 145,143,505
-1 -145,143,505

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 145,143,505.

Example:
1 x 145,143,505 = 145,143,505
and
-1 x -145,143,505 = 145,143,505
Notice both answers equal 145,143,505

With that explanation out of the way, let's continue. Next, we take the number 145,143,505 and divide it by 2:

145,143,505 ÷ 2 = 72,571,752.5

If the quotient is a whole number, then 2 and 72,571,752.5 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:

1 145,143,505
-1 -145,143,505

Now, we try dividing 145,143,505 by 3:

145,143,505 ÷ 3 = 48,381,168.3333

If the quotient is a whole number, then 3 and 48,381,168.3333 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:

1 145,143,505
-1 -145,143,505

Let's try dividing by 4:

145,143,505 ÷ 4 = 36,285,876.25

If the quotient is a whole number, then 4 and 36,285,876.25 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:

1 145,143,505
-1 145,143,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652391,1953,1079,34315,53546,715121,459607,2952,232,97711,164,88529,028,701145,143,505
-1-5-13-65-239-1,195-3,107-9,343-15,535-46,715-121,459-607,295-2,232,977-11,164,885-29,028,701-145,143,505

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