Q: What are the factor combinations of the number 162,460,415?

 A:
Positive:   1 x 1624604155 x 3249208313 x 1249695517 x 955649565 x 249939185 x 1911299221 x 735115233 x 697255631 x 2574651105 x 1470231165 x 1394513029 x 536353155 x 514933961 x 410158203 x 1980510727 x 15145
Negative: -1 x -162460415-5 x -32492083-13 x -12496955-17 x -9556495-65 x -2499391-85 x -1911299-221 x -735115-233 x -697255-631 x -257465-1105 x -147023-1165 x -139451-3029 x -53635-3155 x -51493-3961 x -41015-8203 x -19805-10727 x -15145


How do I find the factor combinations of the number 162,460,415?

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 162,460,415, 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.

1 162,460,415
-1 -162,460,415

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 162,460,415.

Example:
1 x 162,460,415 = 162,460,415
and
-1 x -162,460,415 = 162,460,415
Notice both answers equal 162,460,415

With that explanation out of the way, let's continue. Next, we take the number 162,460,415 and divide it by 2:

162,460,415 ÷ 2 = 81,230,207.5

If the quotient is a whole number, then 2 and 81,230,207.5 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:

1 162,460,415
-1 -162,460,415

Now, we try dividing 162,460,415 by 3:

162,460,415 ÷ 3 = 54,153,471.6667

If the quotient is a whole number, then 3 and 54,153,471.6667 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:

1 162,460,415
-1 -162,460,415

Let's try dividing by 4:

162,460,415 ÷ 4 = 40,615,103.75

If the quotient is a whole number, then 4 and 40,615,103.75 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:

1 162,460,415
-1 162,460,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852212336311,1051,1653,0293,1553,9618,20310,72715,14519,80541,01551,49353,635139,451147,023257,465697,255735,1151,911,2992,499,3919,556,49512,496,95532,492,083162,460,415
-1-5-13-17-65-85-221-233-631-1,105-1,165-3,029-3,155-3,961-8,203-10,727-15,145-19,805-41,015-51,493-53,635-139,451-147,023-257,465-697,255-735,115-1,911,299-2,499,391-9,556,495-12,496,955-32,492,083-162,460,415

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