Prime Factorizations

Every integer decomposes uniquely into primes. Each draw is five decompositions. The small primes — 2, 3, 5, 7 — dominate because most small numbers are made of them.

Last 20 draws · factorizations

DateW1W2W3W4W5primes2026-07-222^252·112·5^22·291
2026-07-2023^22^2·1153593
2026-07-183^22·72^2·112·5^22^3·70
2026-07-15272·3^2292·193
2026-07-1355^22^2·3^22^3·52^4·31
2026-07-112^32·52·73^2·5591
2026-07-082^2·32937435·113
2026-07-06172^2·113^2·72·3·11672
2026-07-04172·192·232·5^23·231
2026-07-0122·32·133·132^2·171
2026-06-292·52·74153593
2026-06-2732^42^2·72·3·5592
2026-06-24132·72^43·72·191
2026-06-2217193·73^2·52^4·32
2026-06-202^42^2·52^2·112^4·32·5^20
2026-06-1732·137^253613
2026-06-155^25·113·192^2·3·52·310
2026-06-133132^2·112·5^2533
2026-06-102^2·3312·192^2·3·52·3·111
2026-06-0832^3·32·17437^22

Prime factor frequency · all 1379 draws

p = 2
6,756

p = 3
3,313

p = 5
1,413

p = 7
990

p = 11
604

p = 13
457

p = 17
369

p = 19
291

p = 23
312

p = 29
184

p = 31
209

p = 37
109

p = 41
89

p = 43
99

p = 47
110

p = 53
112

p = 59
110

p = 61
122

p = 67
101

White line = expected count for uniform draws from 1–69.

How it works

For the last 20 draws, each number is rendered as its prime factorization. Numbers that are themselves prime show up in highlighted color — 19 of the 69 white-ball numbers are prime, so about 1.4 primes per draw is expected.

The frequency bar chart totals how often each prime appears as a factor across every drawn white ball (with multiplicity — so 64 = 2⁶ contributes six 2s). The dashed reference is the expected count if numbers were drawn uniformly.

No prime is meaningfully over- or under-represented. The reason 2 dominates is that half of 1–69 is even, and a third of even numbers are divisible by 4, and so on — not because the lottery favors even numbers.