Q: What are the factor combinations of the number 145,153,415?

 A:
Positive:   1 x 1451534155 x 2903068311 x 1319576555 x 263915379 x 1837385121 x 1199615395 x 367477605 x 239923869 x 1670353037 x 477954345 x 334079559 x 15185
Negative: -1 x -145153415-5 x -29030683-11 x -13195765-55 x -2639153-79 x -1837385-121 x -1199615-395 x -367477-605 x -239923-869 x -167035-3037 x -47795-4345 x -33407-9559 x -15185


How do I find the factor combinations of the number 145,153,415?

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 145,153,415, 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.

1 145,153,415
-1 -145,153,415

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 145,153,415.

Example:
1 x 145,153,415 = 145,153,415
and
-1 x -145,153,415 = 145,153,415
Notice both answers equal 145,153,415

With that explanation out of the way, let's continue. Next, we take the number 145,153,415 and divide it by 2:

145,153,415 ÷ 2 = 72,576,707.5

If the quotient is a whole number, then 2 and 72,576,707.5 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:

1 145,153,415
-1 -145,153,415

Now, we try dividing 145,153,415 by 3:

145,153,415 ÷ 3 = 48,384,471.6667

If the quotient is a whole number, then 3 and 48,384,471.6667 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:

1 145,153,415
-1 -145,153,415

Let's try dividing by 4:

145,153,415 ÷ 4 = 36,288,353.75

If the quotient is a whole number, then 4 and 36,288,353.75 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:

1 145,153,415
-1 145,153,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151155791213956058693,0374,3459,55915,18533,40747,795167,035239,923367,4771,199,6151,837,3852,639,15313,195,76529,030,683145,153,415
-1-5-11-55-79-121-395-605-869-3,037-4,345-9,559-15,185-33,407-47,795-167,035-239,923-367,477-1,199,615-1,837,385-2,639,153-13,195,765-29,030,683-145,153,415

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