Find the total number of factors of 15120
Answers
The total number of factors of 15120 is 160.
Here is the list of all Positive Factors of 15120 in numerical order:
1 × 15120 = 15120
2 × 7560 = 15120
3 × 5040 = 15120
4 × 3780 = 15120
5 × 3024 = 15120
6 × 2520 = 15120
7 × 2160 = 15120
8 × 1890 = 15120
9 × 1680 = 15120
10 × 1512 = 15120
12 × 1260 = 15120
14 × 1080 = 15120
15 × 1008 = 15120
16 × 945 = 15120
18 × 840 = 15120
20 × 756 = 15120
21 × 720 = 15120
24 × 630 = 15120
27 × 560 = 15120
28 × 540 = 15120
30 × 504 = 15120
35 × 432 = 15120
36 × 420 = 15120
40 × 378 = 15120
42 × 360 = 15120
45 × 336 = 15120
48 × 315 = 15120
54 × 280 = 15120
56 × 270 = 15120
60 × 252 = 15120
63 × 240 = 15120
70 × 216 = 15120
72 × 210 = 15120
80 × 189 = 15120
84 × 180 = 15120
90 × 168 = 15120
105 × 144 = 15120
108 × 140 = 15120
112 × 135 = 15120
120 × 126 = 15120
126 × 120 = 15120
135 × 112 = 15120
140 × 108 = 15120
144 × 105 = 15120
168 × 90 = 15120
180 × 84 = 15120
189 × 80 = 15120
210 × 72 = 15120
216 × 70 = 15120
240 × 63 = 15120
252 × 60 = 15120
270 × 56 = 15120
280 × 54 = 15120
315 × 48 = 15120
336 × 45 = 15120
360 × 42 = 15120
378 × 40 = 15120
420 × 36 = 15120
432 × 35 = 15120
504 × 30 = 15120
540 × 28 = 15120
560 × 27 = 15120
630 × 24 = 15120
720 × 21 = 15120
756 × 20 = 15120
840 × 18 = 15120
945 × 16 = 15120
1008 × 15 = 15120
1080 × 14 = 15120
1260 × 12 = 15120
1512 × 10 = 15120
1680 × 9 = 15120
1890 × 8 = 15120
2160 × 7 = 15120
2520 × 6 = 15120
3024 × 5 = 15120
3780 × 4 = 15120
5040 × 3 = 15120
7560 × 2 = 15120
15120 × 1 = 15120
Factors of 15120 include negative numbers also
-1 × -15120 = 15120
-2 × -7560 = 15120
-3 × -5040 = 15120
-4 × -3780 = 15120
-5 × -3024 = 15120
-6 × -2520 = 15120
-7 × -2160 = 15120
-8 × -1890 = 15120
-9 × -1680 = 15120
-10 × -1512 = 15120
-12 × -1260 = 15120
-14 × -1080 = 15120
-15 × -1008 = 15120
-16 × -945 = 15120
-18 × -840 = 15120
-20 × -756 = 15120
-21 × -720 = 15120
-24 × -630 = 15120
-27 × -560 = 15120
-28 × -540 = 15120
-30 × -504 = 15120
-35 × -432 = 15120
-36 × -420 = 15120
-40 × -378 = 15120
-42 × -360 = 15120
-45 × -336 = 15120
-48 × -315 = 15120
-54 × -280 = 15120
-56 × -270 = 15120
-60 × -252 = 15120
-63 × -240 = 15120
-70 × -216 = 15120
-72 × -210 = 15120
-80 × -189 = 15120
-84 × -180 = 15120
-90 × -168 = 15120
-105 × -144 = 15120
-108 × -140 = 15120
-112 × -135 = 15120
-120 × -126 = 15120
-126 × -120 = 15120
-135 × -112 = 15120
-140 × -108 = 15120
-144 × -105 = 15120
-168 × -90 = 15120
-180 × -84 = 15120
-189 × -80 = 15120
-210 × -72 = 15120
-216 × -70 = 15120
-240 × -63 = 15120
-252 × -60 = 15120
-270 × -56 = 15120
-280 × -54 = 15120
-315 × -48 = 15120
-336 × -45 = 15120
-360 × -42 = 15120
-378 × -40 = 15120
-420 × -36 = 15120
-432 × -35 = 15120
-504 × -30 = 15120
-540 × -28 = 15120
-560 × -27 = 15120
-630 × -24 = 15120
-720 × -21 = 15120
-756 × -20 = 15120
-840 × -18 = 15120
-945 × -16 = 15120
-1008 × -15 = 15120
-1080 × -14 = 15120
-1260 × -12 = 15120
-1512 × -10 = 15120
-1680 × -9 = 15120
-1890 × -8 = 15120
-2160 × -7 = 15120
-2520 × -6 = 15120
-3024 × -5 = 15120
-3780 × -4 = 15120
-5040 × -3 = 15120
-7560 × -2 = 15120
-15120 × -1 = 15120
.
Total number of factors of 15120 are 80
Given:
- 15120
To Find:
- Total Number of Factors
Solution:
- "Prime Factorization is finding prime numbers/factors which when multiplied together results in the original number"
- Prime number is a natural number which has only two factors one and number itself. (e.g. , 2 , 3 , 5 , 7 .... )
Step 1:
Prime Factorize 15120
15120 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7
1520 = 2⁴ × 3³ × 5¹ × 7¹
Step 2:
Calculate total number of factor
( total number of factor are multiples of 1 added to the power of each prime factor)
4 , 3 , 1 and 1 are the power of prime numbers 2 , 3 , 5 and 7 respectively
Hence total number of Factors are:
(4 + 1)(3 + 1)(1 + 1)(1 + 1)
= (5)(4)(2)(2)
= 80
Total number of factors of 15120 are 80