Q: What are the factor combinations of the number 15,342,145?

 A:
Positive:   1 x 153421455 x 30684297 x 219173513 x 118016535 x 43834749 x 31310565 x 23603391 x 168595245 x 62621455 x 33719637 x 240853185 x 4817
Negative: -1 x -15342145-5 x -3068429-7 x -2191735-13 x -1180165-35 x -438347-49 x -313105-65 x -236033-91 x -168595-245 x -62621-455 x -33719-637 x -24085-3185 x -4817


How do I find the factor combinations of the number 15,342,145?

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 15,342,145, 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 15,342,145
-1 -15,342,145

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 15,342,145.

Example:
1 x 15,342,145 = 15,342,145
and
-1 x -15,342,145 = 15,342,145
Notice both answers equal 15,342,145

With that explanation out of the way, let's continue. Next, we take the number 15,342,145 and divide it by 2:

15,342,145 ÷ 2 = 7,671,072.5

If the quotient is a whole number, then 2 and 7,671,072.5 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 15,342,145
-1 -15,342,145

Now, we try dividing 15,342,145 by 3:

15,342,145 ÷ 3 = 5,114,048.3333

If the quotient is a whole number, then 3 and 5,114,048.3333 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 15,342,145
-1 -15,342,145

Let's try dividing by 4:

15,342,145 ÷ 4 = 3,835,536.25

If the quotient is a whole number, then 4 and 3,835,536.25 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 15,342,145
-1 15,342,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,1854,81724,08533,71962,621168,595236,033313,105438,3471,180,1652,191,7353,068,42915,342,145
-1-5-7-13-35-49-65-91-245-455-637-3,185-4,817-24,085-33,719-62,621-168,595-236,033-313,105-438,347-1,180,165-2,191,735-3,068,429-15,342,145

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